# An airplane has a speed of 400 km/h with no wind. The airplane flies 2140 km with the wind. The airplane can only fly 1860 km against the wind in the same time. If w equals the speed of the

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1. ### Math

An airplane has a speed of 400 km/h with no wind. The airplane flies 2140 km with the wind. The airplane can only fly 1860 km against the wind in the same time. If w equals the speed of the wind, which equation would be used to find w? a) 2140/(w+400) = 1860/(w-400) b. 2140/(...
2. ### math

When an airplane flies with a given wind, it can travel 3000 km in 5hrs. When the same airplane flies in the opposite direction against the wind it takes 10hrs to fly the same distance. Find the speed of the plane in still air and the speed of the wind.
3. ### Math

an airplane travels 500 km with the wind in the same time that it takes the airplane to travel 400 km against the wind. the average speed of the plane in still air is 180 km/h. what is the average speed of the wind? Airplane with wind: Distance: 500km Speed: 180+x Time: ...
4. ### Algebra 2

An airplane flies 1050 km with the wind. In the same amount of time, it can fly 750 km against the wind. The speed of the plane in the still air is 200 km/h. Find the speed of the wind.
5. ### Pre-Algebra

Question is: What is the algebraic equation to determine when they will meet? For the following information, I understand 5(x+y) = 3000 for 1st plane & 10(x-y) = 3000 for 2nd plane. When an airplane flies with a given wind, it can travel 3000 km in 5hrs. When the same airplane...
6. ### Pre-Algebra

Question is: What is the algebraic equation to determine when they will meet? For the following information, I understand 5(x+y) = 3000 for 1st plane & 10(x-y) = 3000 for 2nd plane. When an airplane flies with a given wind, it can travel 3000 km in 5hrs. When the same airplane...
7. ### Algebra

An airplane flies 3024 miles into the wind for 14 hours. The return trip takes 9 hours. Find the speed of the airplane without a wind and the speed of the wind.
8. ### math

An airplane can fly 625 miles with the wind in the same amount of time as it can fly 425 miles against the wind. If the wind speed is 50 mph, find the speed of the plane in still air. (Round your answer to the nearest whole number.)
9. ### algebra

A Boeing 747 flies 2420 miles with the wind. In the same amount of time, it can fly 2140 miles against the wind. The cruising speed ( in still air) is 570 mph. Find the speed of the wind.
10. ### math

An airplane is flying from Montreal to Vancouver. The wind is blowing from the west at 60km/hour. The airplane flies at an airspeed of 750km/h and must stay on a heading of 65 degrees west of north. A) what heading should the pilot take to compensate for the wind? B) what is ...
11. ### Physics/Math

After flying for 15 min in a wind blowing 42 km/h at an angle of 30° south of east, an airplane pilot is over a town that is 50 km due north of the starting point. What is the speed of the airplane relative to the air? This is a vector equation. I would do it graphically. ...
12. ### algebra

An airplane takes off from an airport and takes 6.5 hours to fly west (against the wind current) 2600 miles. The return trip (with the wind current) takes 5.2 hours. Find the airspeed and the wind speed.
13. ### math

A new passenger airplane is flying from Vancouver heading overseas to Asia. The wind is blowing from the west at 90 km/h. The airplane is flying at a speed of 950 km/h and must stay on a heading of south 60 degrees west A) What heading should the pilot take to compensate for ...
14. ### Science

An airplane is traveling 725 m/s at 48.8° degrees north of west when a wind starts to blow. The velocity of the wind is 106.7 m/s and it is blowing 21.8° east of north. What is the speed of the airplane relative to the ground?
15. ### 11

How do I work this problem? Flying with the wind, an airplane can travel 1080 miles in six hours, but against the wind, it goes 360 miles in half the time. Find the air speed and wind speed
16. ### Algebra

An airplane traveled 1092 miles with a tailwind, turned around and returned 1092 miles against the same wind to its starting point. The trip with the wind took 6hrs and the return flight against the wind took 8hrs. Find the speed of the plane and the wind. dealing w/- subst. ...
17. ### math

an airplane flew with the wind for 30 minutes and returned the same distance in 45 minutes. If the cruising speed of the airplane was 320 mph what was the speed of the wind ?
18. ### physics

An airplane has a velocity of 400 km/h relative to the wind. At the same time, a wind blows northward with a speed of 75 km/h relative to earth. Find the direction that the airplane must head in order to move in an easterly direction relative to earth.
19. ### physics grade 11 (vector)

An airplane is flying 400 km/h west. There is a wind blowing 100 km/h NE. What is the airplane's actual speed and heading?
20. ### Math

An airplane flying at a speed of about 100 mph was once overtaken and passed by a flock of sandpipers! Suppose that a flock of these birds can fly at 110 miles per hour with a certain wind and at 90 mph against it. If they fly a certain distance with the wind and the same ...
21. ### 8th Algebra

1) An airplane took 2 hours to fly 600 km against a head wind. The return trip with the wind took 1 2/3 hours. Find the speed of the plane in still air.
22. ### Physics! another one i need help with

the velocity of the wind would be: (42km/h)cos(30)=36.37 After flying for 15 min in a wind blowing 42 km/h at an angle of 30° south of east, an airplane pilot is over a town that is 50 km due north of the starting point. What is the speed of the airplane relative to the air ...
23. ### PHYSICS

an airplane flying due north with a speed relative to the ground of 300 km/hr. it then encounters a cross-wind that is directed due east. of the resultant speed of the airplane is now 302 km/hr, how fast is the cross wind?
24. ### algebra

An airplane flying with the wind can cover a certain distance in a = 3 hours. The return trip against the wind takes b = 4.5 hours. How fast is the plane and what is the speed of the wind, if the one-way distance is c = 720 miles?
25. ### Algebra 1

An airplane travels 6200 km against the wind in 8 hours and 7080 km with the wind in the same amount of time. What is the rate of the plane in still air and what is the rate of the wind?
26. ### Trig/Precal

An airplane flies on a compass heading of 90° at 310 mph. The wind affecting the plane is blowing from 332° at 40 mph. What is the true course and ground speed of the airplane?
27. ### algebra 2

Traveling with the wind, an airplane travels 210 miles im 4 hours. Against the wind, it takes six hours. Find the rate of the plane in still air and the velocity of the wind.
28. ### english

4. Which of the following sentences contains “passive voice?” (Points : 1) The airplane was wrecked by the wind. The wind wrecked the airplane. The cat chased the mouse. The bird flew after the balloon. a, b, c
29. ### science

an airplane normally flies at 200 km/h, what is the resultant velocity of the plane if it experiences a 50 km/h tail wind, and a 50km/h head wind
30. ### physics

An airplane is flying NW with a ground speed of 600 Km/h. If a 125 Km/h wind from the W suddenly hits the airplane, find the airplane's new speed and direction relative to the ground.
31. ### algebra

A man flies a small airplane from Fargo to Bismarck, North Dakota --- a distance of 180 miles. Because he is flying into a head wind, the trip takes him 2 hours. On the way back, the wind is still blowing at the same speed, so the return trip takes only 1 hours. What is the ...
32. ### Physics I NEED HELP BADLY

An airplane traveling east at a speed of 270 km/h encounters a wind of 75 km/h what is the resulting speed of the plane if: - The wind is blowing east. - The wind is blowing west. - The wind is blowing north. ************* CLICK ON MY NAME TO SEE IF YOU CAN HELP ME WITH ANY ...
33. ### pre calc

The velocity of an aiplane heading east at 400 knots and a wind velocity of 50 knots northeast. The airplane encounters this wind, show the resultant velocity. What is the resulant speed and direction of the airplane? (the direction is the angle the resultant makes with due ...
34. ### Trigonometry

An airplane with a speed of 485 km/h is traveling with a heading of 83.5°. The wind velocity is 38 km/h in the direction of 191°. Find the ground speed of the airplane. P.S. How do you solve this problem by only using the law of cosine/sine method?
35. ### math

An airplane flew for 6 hours with a 22km/hour tailwind. The return flight against the same wind takes 8 hours. Find the speed of the plane with no wind and windspeed.
36. ### Physics

An airplane pilot tries to fly directly east with a velocity of 800.0 km/h. If wind comes from the southwest at 80.0 km/h, what is the relative velocity of the airplane to the surface of Earth?
37. ### math

An airplane travels with a speed of 145 mph in calm air. the wind is blowing with a velocity of 23 mph from N72degreesE. If the plane is headed in a direction N63W, find the magnitude of the speed and the direction of the airplane with reference to the ground. In what ...
38. ### Math

A short airplane trip between two cities took 30 minutes when traveling with the wind. The return trip took 45 minutes when traveling against the wind. If the speed of the plane with no wind is 320 mph, find the speed of the wind and the distance between the two cities (hint: ...
39. ### Physics

You are flying in a light airplane spotting traffic for a radio station. Your flight carries you due east above a highway. Landmarks below tell you that your speed is 46.0 m/s relative to the ground and your air speed indicator also reads 46.0m/s. However, the nose of your ...
40. ### English

1. He died young. 2. He died when he was young. 3. When he was young, he died. (Are they all the same?) 4. a strong wind, a high wind, a heavy wind, 5. a weak wind, a low wind a light wind, a gentle wind 6. a warm wind, a chill wind, a chilly wind, a biting wind, a cool wind, ...
41. ### Physics 11

An airplane flies at 500km/hr, there is a wind kf 50.0km/h(N).if the pilot wants to fly due east, calculate the direction that the plane is heading. Thanks.
42. ### trig

An airplane flies with a speed of 425 mph and a heading of 63°. If the heading of the wind is 24°and the speed of the wind is 31 mph, what is the heading of the plane and the ground speed? I've done a couple questions like this but still a little fuzzy on setting it up, any ...
43. ### phsyics

An airplane with an airspeed of 60 km/hr lands on a runway where the wind speed is 40 km/hr. (a) What is the landing speed of the plane if the wind is head-on? (b) What is the landing speed if the wind is a tailwind, coming from behind the plane?
44. ### Physics

An airplane with an airspeed of 66km/h lands on a runway where the wind speed is 28km/h .What is the landing speed of the plane if the wind is head-on?
45. ### Physics

You are flying in a light airplane spotting traffic for a radio station. Your flight carries you due east above a highway. Landmarks below tell you that your speed is 46.0 m/s relative to the ground and your air speed indicator also reads 46.0m/s. However, the nose of your ...
46. ### Algebra 1

An airplane travels for seven hours with a 60 mph tailwind on the return trip against the same wind it took the plane nine hours find the speed of the plane with no wind.
47. ### Algebra

How do you sole the problem below? Kevin flies a plane against a headwind for 5600 miles. The return trip with the wind took 10 hours less time. If the wind speed is 5 mph, how fast does Kevin fly the plane when there is no wind?
48. ### trigonometry math

An aviator heads his airplane due west. He finds that because of a wind from the south, the course makes an angle of 20" with the heading. If his airspeed is 100 mi/h, what is his groundspeed and what is the speed of the wind?
49. ### Precalculus

An airplane is flying due west at a velocity of 100 m/s. The wind is blowing south at 5 m/s. a. Draw a labeled diagram of the situation. b. Find the resulting ground speed and bearing of the airplane?
50. ### math

An airplane flying against the wind travels 100 miles in the same amount of time it would take the same plane to travel 140 miles with the wind. If the wind speed is a constant 40 miles per hour, how fast would the plane travel in still air?
51. ### Math

An airplane can travel 380 miles into the wind in the same time that it can travel 420 miles with the wind. If the wind speed is 10 miles per hour, find the speed of the airplane without any wind. Is this correct: 380(x-10)=420(x+10) 380x-3800=420x+4200 -420x -420x -40x-3800=...
52. ### physics

Suppose an airplane is flying in air with a speed of u=100m/s . The wind is from the south west with a velocity of v= 70m/s what direction should the airplane head in order to fly directly north ( with respect to the ground)? Give the angle in degrees of west of north what is ...
53. ### Math

Flying to the wind, an airplane takes 4 hours to go 960 km. The same plane flying with the wind takes only 3 hours to make the same trip. Find the speed of the plane and the speed of the wind. I wasn't here for the lesson from my teacher but told me to ask my classmates but ...
54. ### algebra

A jet flies with the wind at 1100 km/hr and 750 km/hr against the same wind. Find the rate of the wind and the speed of the plane show the equation for solving
55. ### physics

After flying for 15 min in a wind blowing 42 km/h at an angle of 20° south of east, an airplane pilot is over a town that is 42 km due north of the starting point. What is the speed of the airplane relative to the air?
56. ### physics

After flying for 15 min in a wind blowing 42 km/h at an angle of 20° south of east, an airplane pilot is over a town that is 42 km due north of the starting point. What is the speed of the airplane relative to the air?
57. ### physics

After flying for 15 min in a wind blowing 42 km/h at an angle of 20° south of east, an airplane pilot is over a town that is 42 km due north of the starting point. What is the speed of the airplane relative to the air?
58. ### Physics

After flying for 15 min in a wind blowing 42 km/h at an angle of 34° south of east, an airplane pilot is over a town that is 40 km due north of the starting point. What is the speed of the airplane relative to the air?
59. ### physics

After flying for 13 min in a wind blowing 37 km/h at an angle of 25° south of east, an airplane pilot is over a town that is 59 km due north of the starting point. What is the speed of the airplane relative to the air, in km/h?
60. ### Physics

After flying for 15 min in a wind blowing 42 km/h at an angle of 28° south of east, an airplane pilot is over a town that is 42 km due north of the starting point. What is the speed of the airplane relative to the air?
61. ### physics

After flying for 13 min in a wind blowing 44 km/h at an angle of 21° south of east, an airplane pilot is over a town that is 53 km due north of the starting point. What is the speed of the airplane relative to the air?
62. ### Physics

An airplane flies at an airspeed of 445km/hr. The pilot wants to fly 785km to the north. She knows that she must head 18.0° east of north to fly directly there. If the plane arrives in 1.97hr, find the magnitude of the wind velocity vector.
63. ### Physics

A small, single engine airplane is about to take off. The airplane becomes airborne, when its speed reaches 117.0 km/h. The conditions at the airport are ideal, there is no wind. When the engine is running at its full power, the acceleration of the airplane is 2.40 m/s2. What ...
64. ### Physics

Find th resultant and speed direction of the airplane relative to the ground.... AN airplane is heading west at velocity 950km/hr and wind is blowing northward at velocity of 55.o km/hr
65. ### physics

An airplane of a certain density and shape flies at a constant speed. To do so, it must fly with a certain velocity v0. If the size of the airplane is scaled up in length, width, and height by a factor of two, it can only fly above a new velocity v1. What is v1/v0? Details ...
66. ### ALGEBRA 1

A JET FLIES WITH THE WIND AT 1100km/hr and 750 km/hr against the same wind. Find the rate of the wind and speed of the plane PLEASE INCLUDE THE EQUATION OR SET FOR SOLUTION
67. ### Physics

An airplane has a velocity of 580 km/h relative to the moving air. At the same time, a wind blows northward with a speed of 92 km/h relative to earth. The airplane is moving in an easterly direction relative to earth. Find the speed of the airplane to relative to earth (answer...
68. ### physics

Airplane flies at velocity of 400 mph and the wind is blowing north at 200 mph
69. ### calculus

Multiple choice: An airplane flying due east at 539 mph in still air, encounters a 61-mph tail wind acting in the direction 45 degrees north of east. The airplane holds its compass heading but because of the wind acquires a new ground speed and direction. What is its new ...
70. ### Physics

an airplane has a velocity of 499 km/h relative to the moving air. at the same time, a wind blows northward with a speed of 87 km/h relative to the earth. the airplane is moving in an easterly direction relative to the earth. find speed of airplane to relative to earth.
71. ### math

an airplane is flying at 550 km/h on a heading of 080. the wind is blowing at 60 km/h from a bearing of 120. Find the ground velocity of the airplane. Please Help! Thanks in advance.
72. ### Physics

An airplane of a certain density and shape flies at a constant speed. To do so, it must fly with a certain velocity v0. If the size of the airplane is scaled up in length, width, and height by a factor of two, it can only fly above a new velocity v1. What is v1/v0?
73. ### Algebra

With a tail wind, a light plane can fly 720 km in 2h. Going against the wind, the plane can fly the same distance in 3 h. What are the wind speed and the air speed of the plane?
74. ### math

It took a small plan 1 hour longer to fly 480 miles against the wind than it took the plane to fly the same distance with the wind. If the wind speed was 20 mph, then what is the speed of the plane in calm air?
75. ### Math

A plane can fly 140 mph in calm air. Flying with the wind, the plane can fly 700 mi in the same amount of time it takes to fly 420 mi against the wind. Whats the rate of the wind?
76. ### math

A pilot can fly an MD-11 2160 miles with the wind in the same time she can fly 1920 miles against the wind. If the speed of the wind is 30 mph, find the speed of the plane in still air.( Source: Air Transport Association of America)
77. ### Calculus

An airplane is heading due east with an airspeed of 220km/h when it encounters a wind from the south at 76km/h. What is the direction of the resultant velocity of the airplane The answer is E19.06°N but I don't know how
78. ### PreCalc - Vectors

An airplane is flying with an airspeed of 660 Kilometers per hour. The wind is blowing from 345 degrees at 35 km/h. What direction should the airplane take so that, with the wind, the plane will be flying in a direction of 72 degrees? I can compute airspeed and actual ...
79. ### Algebra

A plane can fly 500 miles against the wind in the same amount of time that it can fly 775 miles with the wind. If the wind speed is 55mph, find the speed of the plane in still air.
80. ### Calculus

An airplane is heading at a bearing of N23°E at a speed of 700 km/hr, but there is a wind blowing from the west at 60 km/hr. If the plane does not make any correction, what will be the bearing of the plane? What is its speed relative to the ground (ground speed = airspeed + ...
81. ### maths

an aeroplane takes 40 minutes less to fly 3600km with the wind blowing at 30 km/hr than the time it takes to fly against the same wind .Find the actual speed of the aeroplane when there is no wind.
82. ### math

a jet flies with wind at 1100 km/h and against the same wind at 750 km/h.Find the rate of the wind and the speed of the jet in still air.
83. ### Math

Use systems of lineear equations to solve: An airplane flew for 6 hours with a 22-km/h tail wind. The return flight against the same wind took 8 hours. Find the speed of the plane in still air. I know the answer is 154 km/hr (back of book resources :) )...I just don't ...
84. ### math

A certain aircraft can fly 768 miles with the wind in 4 hours and travel the same distance against the wind in 6 hours. what is the speed of the wind?
85. ### Help

Erik bicycles 32 km/h with no wind. Against the wind he bikes 33 km in the same time it takes to bike 63 km with the wind. What is the speed of the wind?
86. ### physics

The pilot of an airplane wishes to fly due north, but there is a 71 km/h wind blowing toward the east. (a) In what direction should the pilot head her plane if its speed relative to the air is 314 km/h? ° west of north Should the angle just be the opposite of the one created ...
87. ### Algebra

An airplane flies 2368 miles round trip in 7 hours. The speed of the wind is 20 mph. Determine the airplanes speed in still air.
88. ### Algebra 2

A single engine aircraft can fly 120 mph in still air. If the aircraft can fly 490 miles flying with the wind in the same amount time it can fly 350 miles when flying against the wind, what is the speed of the wind? I can't figure out how to set up the equation.
89. ### Math

an airplane is flying with an airspeed of 145 mph and a heading of 84.5 degrees. q wind of 24.6 omh is blowing at a heading of 68.4 degrees. find the ground speed and course of airplane
90. ### physics

A pilot wants the heading of an airplane to be 45º east of north. The wind is from 270º at 32 km/h, and the speed of the airplane through the air is 320 km/h. The pilot should maintain a heading of approximately?
91. ### science

(a) An airplane flies at constant speed along a straight line at an angle of 30' with the horizontal. The weight of the airplane is 80000 N and its engine provides a thrust of 100000 N in the direction of flight. Determine the lift force perpendicular to the airplane's wings ...
92. ### physics

An airplane whose airspeed is 295 km/h flies parallel to the direction of a wind with a speed of 40.0 km/h. What are the two possible speeds of the plane relative to the ground?
93. ### Trig/PreCalc

An airplane is flying on a compass heading of 160 degrees at 425 mph. A wind is blowing with the bearing 200 degrees at 75 mph. Find the actual speed and direction of the airplane.
94. ### physics

an airplane has a speed of 600km/h with respect to air. it has to fly a distance of 800km northward. in what direction should it fly if a steady wind is blowing at a speed of 120km/h from the west ? what will its speed with respect to the ground be? draw the relevant diagram ...
95. ### Physics

write out the equation please show the steps taken to solve the problem A small airplane flies at a velocity of 145 km/h toward the south as observed by a person on the ground. the airplane pilot measures an air velocity of 172 km/h south. What is the velocity of the wind that...
96. ### physics

An airplane has a speed 590 km/h . If a wind begins blowing from the southwest at a speed of 94.9 km/h (average). In what direction should the pilot aim the plane so that it will fly due south?
97. ### Vectors?

Find the ground speed of an airplane with air speed of 480km/hr and heading due east if a wind blowing south has a velocity of 40km/hr. I did this: plane: <480, 0> wind: <0, -40> And added them together to get <480, -40> and then used Pythagorean theorem to ...
98. ### Physics

An airplane is flying North with a velocity of 22 m/s. A strong wind is blowing East at 50 m/s. What is the airplane's resultant velocity (magnitude and direction)?
99. ### Physics HELP!

An airplane is flying North with a velocity of 22 m/s. A strong wind is blowing East at 50 m/s. What is the airplane's resultant velocity (magnitude and direction)?
100. ### Science

An airplane is flying 200mph at 50 degrees north of east. Wind velocity is 50mph due south. What is the velocity of the airplane?