# A boat that travels at a speed of 6.75 m/s in still water is to go directly across a river and back, as shown in the figure below. The current flows at 0.50m/s At what angles must the boat be

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1. ## science

a boat heading due north crosses a wide river with speed of 12km/h relative to the water the water in the river has a uniform speed of 5 km/h due east relative to the earth.determine the velocity of the boat relative to an observer standing on either bank

2. ## math

The speed of a river current is 4 mph. IF a boat travels 20 miles downstream in the same time that it takes to travel 10 miles upstream, find the speed of the boat in still water.

3. ## Math (Trig.)

A boat sailing from A to B travels in a straight line until the captain realizes he is off course. The boat is turned through an angle of 60 degrees, then travels another 10 km to B. The trip would have been 4 km shorter if the boat had gone straight from

4. ## Physics

A boat’s speed in still water is 1.95m/s . The boat is to travel directly across a river whose current has speed 1.20m/s . Determine the speed of the boat with respect to the shore. Despite, I did it like taking the sqrt (1.95^2+1.20^2) is there

5. ## Algebra

The speed of the current is 7 mph. The boat travels three times slower against the current than with the current. What is the speed of the boat in still water? Plz answer as soon as possible!

6. ## physics

A boat’s speed in still water is vBW = 1.85 m/s. If the boat is to travel directly across a river whose current has speed vWS = 1.20 m/s, at what upstream angle must the boat head?

7. ## Science

A boat moves at a speed of 15 km/h in still water. The river it is traveling in flows at a rate of 3 km/h downstream. What is the velocity of the boat if it travels downstream? What is the velocity of the boat if it travels upstream?

8. ## algebra

A boat travels 4 km upstream and 4 km back. The time for the round trip is 4 hrs. The speed of the stream is 4 ​km/hr. What is the speed of the boat in still​ water?

9. ## Intermediate Algebra Word Problem

A river's current is 4mph. A boat travels 48 miles downstream in the same time it travels 24 miles upstream. Find the speed of the boat. A) What does the variable stand for? x stands for the speed of the boat. B) Write the equation. 24/x - 4 = 48/x + 4 C)

10. ## Algebra

A boat travels 28 km upstream in 7 hours. It travels 48 km downstream in 4 hours. Find the speed of the boat and the speed of the stream.

11. ## Math

A boat travels 1 km upstream and 1 km back. The time for the round trip is 4 hours. The speed of the stream is 5 km/hr. What is the speed of the boat in still water?

12. ## Math: Calculus - Vectors

A boat travels at a speed of 5 m/s in still water. The boat moves directly across a river that is 70m wide. The water in the river flows at a speed of 2 m/s. How long does it take the boat to cross the river? In what direction is the boat headed when it

13. ## physics - relative motion

A ferryboat, whose speed in still water is 4.00m/s, must cross a river whose current is 3.00m/s. The river runs from west to east and is 128m wide. The boat is pointed north. a) If the boat does not compensate for the flow of the river water and allows

14. ## math

A boat travels from one port A to port B, travelling 126 km, upstream (against the current) at a uniform speed, and the trip takes 6 hours. On the way back (downstream), the trip only takes 4.5 hours. Set up and solve a system of equations to find out the

15. ## elem algebra

the current in a stream moves at a speed of 10 mph. a boat travels 17 mi upstream and 17 mi downstream in a total time of 10 hr. What is the speed of the boat in still water?

16. ## Math

in still water, a speed boat travels 5 times faster than the current of the river. If the speed boat can travel 48 miles upstream and then back in 5 hours, find the rate of the current.

17. ## math

A boat needs to travel south at a speed of 20 km/h. However a constant current of 6 km/h is flowing from the south-east. Use vectors to find: a.the equivalent speed in still water for the boat to achieve the actual speed of 20 km/h. b the direction in

18. ## physics

A motorboat travels due north at a steady speed of 3.0 m/s through calm water in which there is no current. The boat then enters an area of water in which a steady current flows at 2.0 m/s in a southwest direction, as shown in the next picture. Both the

19. ## Math

How do you set this up? Solve the system using substitution: A boat travels 18 miles downstream in 1.5 hrs. It then takes the boat 3 hrs. to travel upstream the same distance. Find the speed of the boat in still water and the speed of the current. Thanks

20. ## math

The speed of a stream is 6 mph. If a boat travels 52 miles downstream in the same time that it takes to travel 26 miles upstream, what is the speed of the boat in still water?

21. ## algebra

A river flows at the rate of 7km/hr. A patrol boat travels 46 km upriver and returns in a total time of 15hr. What is the speed of the boat in still water?

22. ## mathematics

a boat travels 12 km upstream and back in 1 hour and 45 min.if the speed of the current is 3 km/h throughout,find the speed of the boat in still water,giving your answer correct to 3 decimal place. NOTE:(Answer is 14.3 km/h,so can any one show me the

23. ## Math

A boat travels 45 miles upstream in 5h. The boat travels the same distance downstream in 3hr. What is the rate of the boat in still water? What is the rate of the current? (thank you)

24. ## physics

A power boat of mass 465 kg is cruising at a constant speed of 8.9 m/s. The propeller provides a drive force of 765 N. The driver of the boat shuts off the engine, and the boat coasts to a halt. Assume-contrary to fact-that the resistive force due to the

25. ## math

Two fishing boats depart a harbor at the same time, one traveling east, the other south. The eastbound boat travels at a speed 1 mi/h faster than the southbound boat. After nine hours the boats are x = 45 mi apart. Find the speed of the southbound boat.

26. ## Algebra 2

A boat travels 60 km upstream and back again in 8 hours. If the speed of the boat is 16 km/h, what is the speed of the current?

27. ## math

a boat travels 10 miles upstream in 4 hours. the boat travels the same distance downstream in 2 hours. Determine the rate of boat in still water and the rate of the current? Downstream speed = b(still water) + c(current) Upstream speed = b - c upstream

28. ## MATH

A boat on a river travels 16 miles downstream in only 2 hours. It takes the same boat 7 hours to travel 28 miles upstream. What are the speed of the boat and the speed of the current?

29. ## physics

A power boat of mass 460 kg is cruising at a constant speed of 8.9 m/s. The propeller provides a drive force of 765 N. The driver of the boat shuts off the engine, and the boat coasts to a halt. Assume -- contrary to fact -- that the resistive force due to

30. ## algebra

A boat can travel 59 mph in still water. If it travels 325 miles with the current in the same length of time it travels 265 miles against the current, what is the speed of the current?

31. ## physics

A boat crosses a river of width 98.4 m in which the current has a uniform speed of 1.84 m/s. The pilot maintains a bearing (i.e.,the direction in which the boat points) perpendicular to the river and a throttle settingto give a constant speed of 2.11 m/s

32. ## math

A boat travels 8km upstream and back in 2 hours. If the current flows at a constant speed of 3km/h, Find the speed of the boat in still water.(when the boat goes upstream, it speed reduces by 3km/h, and when going downstream, its speed increases by 3 km/h)

33. ## Intermediate Algebra

The speed of a boat in still water is 29mph. if the boat travels 140mph downstream in the same time that it takes to travel 92miles upstream, find the speed of the stream.

34. ## MATH

In still water, a speed boat travels 5 times faster than the current of the river. If the speed boat can travel 48 miles upstream and 10 back in 5 hours, find the rate.

35. ## Physics

A boat is to be used to cross a river of width w that is flowing with a speed v. The boat travels with a constant speed 2v relative to water. At what angle should the boat be directed in order to arrive at a point directly across from its starting point?

36. ## Maths B

Abbey steers her boat in a North Easterly direction for 15 s, East for 6 s and then stops to avoid hitting a duck. If her boat travels at a constant speed of 10 m/min during this time, what is the distance and compass bearing of Abbey’s boat from the

37. ## physics

a boat that travels at a speed of 6.75 m/s in still water is to go directly across a river and back . the current flows at 0.50 m/s (a) at what angle(s) must the boat be steered. (b)How long does it take to make a round trip? (assume that the boats speed

38. ## algebra

A boat on a river travels downstream between two points, 70 mi apart, in one hour. The return trip against the current takes 2 1 2 hours. What is the boat's speed (in still water)

39. ## Math

in still water, a speed boat travels 5 times faster than the current of the river. If the speed boat can travel 48 miles upstream and then back in 5 hours, find the rate of the current.

40. ## physics

A fisherman sets out upstream from Metaline Falls on the Pend Oreille River in northwestern Washington State. His small boat, powered by an outboard motor, travels at a constant speed v in still water. The water flows at a lower constant speed vw. He has

41. ## Algebra

The current of a river is 2 miles per hour. A boat travels to a point 24 miles upstream and back in 5 hours. What is the speed of the boat in still water?

42. ## math(algebra)

a boat can travel at a speed of 15 kph in still water. the boat travels 40 km downstream in a river at the same time it takes to travel 25 km upstream. what is the speed of the river?

43. ## Math

The speed of the current is 7 mph. The boat travels three times slower against the current than with the current. What is the speed of the boat in still water?

44. ## physics

A boat’s speed in still water is 1.80 m/s . The boat is to travel directly across a river whose current has speed 1.20 m/s . Determine the speed of the boat with respect to the shore.

45. ## Physics

A power boat of mass 460 kg is cruising at a constant speed of 8.9 m/s. The propeller provides a drive force of 765 N. The driver of the boat shuts off the engine, and the boat coasts to a halt. Assume-contrary to fact-that the resistive force due to the

46. ## physics

A boat crosses a river, which is 60 meters wide in 15 seconds. Upon crossing, the boat, which had headed straight across the river, ended up 20 meters downstream. A). What was the speed of the boat in still water? B). At what speed does the river flow? C).

47. ## physics

water flows in river 0.5km wide with speed 6km/hr. A boat can travel with speed 10km/hr in still water. In what direction should boat sail to reach opposite bank?

48. ## Physics

A power boat of mass 475 kg is cruising at a constant speed of 8.9 m/s. The propeller provides a drive force of 770 N. The driver of the boat shuts off the engine, and the boat coasts to a halt. Assume -- contrary to fact -- that the resistive force due to

49. ## Physics

A boat crosses a river of width 113 m in which the current has a uniform speed of 0.933 m/s. The pilot maintains a bearing (i.e., the direction in which the boat points) perpendicular to the river and a throttle setting to give a constant speed of 2.58 m/s

50. ## intermediate algebra

A boat can travel 24 mph in still water. If it travels 186 miles with the current in the same length of time it travels 102 miles against the current, what is the speed of the current?

51. ## Math

Mr.Edgington travels 25 mph in his boat. To determine how far he travels he uses the equation d=25h, where is d in the total distance in miles and h is the number of hours he travels on his boat. Find the independent and dependent variable and the

52. ## Physics

A boat crosses a river of width 164 m in which the current has a uniform speed of 1.3 m/s. The pilot maintains a bearing (i.e., the direction in which the boat points) perpendicular to the river and a throttle setting to give a constant speed of 2.4 m/s

53. ## physics

A boat that travels at a speed of 6.75 m/s in still water is to go directly across a river and back, as shown in the figure below. The current flows at 0.50m/s At what angles must the boat be steered? How long does it take to make the round-trip? (Assume

54. ## Math (urgent) hw due tommorow!

The speed of a stream is 3 km/h. A boat travels 25 km upstream in the same time it takes to travel 35 km downstream. What is the speed of the boat in still water?

55. ## math

The current in a stream moves at a speed of 4 mph. A boat travels 24 mi upstream and 24 mi downstream in a total time of 14 hrs. What is the speed of the boat in still water?

56. ## math 0312

The current in a stream moves at a speed of 9 mph. A boat travels 17 mi upstream and 17 mi downstream in a total time of 13 hrs. What is the speed of the boat in still water?

57. ## Maths

Suppose that a boat moves in a straight line with speed v through water with resistance proportional to the square of its speed v with initial speed v0 and initial position x0. Find its speed v(t) and position x(t) and conclude that the boat travels an

58. ## Physics

A boat sets off perpendicular to the bank, to cross a river width of 250m. The speed of the boat in still water is 3.20ms-1, however there is a current downstream at 1.20ms-1, which puss the boat sideways. a) Find the resultant velocity of the boat. b)

59. ## Algebra 1

A boat towing a water skier leaves a dock and travels east at a speed of 20mph. Two minutes later, a second boat towing another skier leaves the dock in the same direction at a speed of 25mph. How long will it take the second boat to overtake the first

60. ## algebra

One boat travels 10 km/h faster than a another. While on boat travels 120 km, the other travels 155 km. Fine their speed.

61. ## Algebra

The speed of the current is 4kph. A boat travels 6km upstream in the same time it takes to travel 10km downstream. What is the spees of the boat in still water?

62. ## Math

A speed boat travels at a rate of 20 km per hour in still water. It travels 55 km upstream the same time it travels 90 km downstream. What is the rate of current?

63. ## Trig

A boat heads S 15 degrees E on a river that flows due west. the boat travels S 11 degrees W with a speed of 25 km per hour. Find the speed of the current and the speed of the still water. This is due tomorrow.

64. ## physics

A fisherman sets out upstream from Metaline Falls on the Pend Oreille River in northwestern Washington State. His small boat, powered by an outboard motor, travels at a constant speed v in still water. The water flows at a lower constant speed vw. He has

65. ## Algebra

The current in a stream moves at a speed of 8mph. A boat travels 13 mph up stream and 13 mph downstream with a total time of 3 hrs. What is the speed of the boat is still water?

66. ## math

A boat travels 23 mph relative to the riverbank while going downstream and only 11 mph returning upstream. What is the boat's speed in still water?

67. ## Algebra

The speed of a boat in still water is 20 mph. It travels 24 mi upstream and 24 mi downstream in a total time of 10 hr. what is the speed if the current?

68. ## math

The speed of a boat in still water is 8 km/h. It travels 60 km upstream and 60 km downstream in a total time of 16 hours. What is the speed of the stream?

69. ## Algebra

A boat travels 28 km upstream in 7 hours. It travels 48 km downstream in 4 hours. Find the speed of the boat and the speed of the stream.

70. ## Physics

A power boat of mass 495 kg is cruising at a constant speed of 8.9 m/s. The propeller provides a drive force of 780 N. The driver of the boat shuts off the engine, and the boat coasts to a halt. Assume-contrary to fact-that the resistive force due to the

71. ## math

a boat travels 4 km upstream and 4 km back. the time for the round trip is 9 hrs. the speed of the stream is 2 km/hr. What is the speed of the boaty in still water?

72. ## Physics

The speed of the boat on still water is 100km/h. The water flows from the west at a speed of 45km/h. In which direction must the sailor steer the boat in order to fly due to north? *What I don't understand is 'which way(direction) is the boat travelling?'

73. ## physics 2

sorry here is actual question: A 285-kg stunt boat is driven on the surface of a lake at a constant speed of 13.5 m/s toward a ramp, which is angled at 28.5° above the horizontal. The coefficient of friction between the boat bottom and the ramp's surface

74. ## Algebra

Solve One boat travels 10km/h faster than another. Which one boat travels 120 km, the other travels 155 km. Find their speeds.

75. ## maths

The speed of a boat in still water is 8km/h. It travels upstream for a distance of 1.5km and returns(downstream) to the starting point. If the whole trip takes 2/5 hours, find the speed of the stream flow.

76. ## Physics

A sailboat travels 45km eastward at a speed of 20km/hr. The wind then drops, and the boat continues due east with a speed of 15km/hr for 25km. a.How long did it take the boat to travel 55km? b. What was the average velocity for the trip?

77. ## word problem

2. The excursion boat Holiday travels 35km upstream and then back again in 4h 48min. If the speed of the Holiday in still water is 15km/h, what is the speed of the current?

78. ## Algebra

The Gulf Stream is a warm ocean current that extends from the eastern side of the Gulf of Mexico up through the Florida Straits and along the southeastern coast of the United States to Cape Hatteras, Nort Carolina. A boat travels with the current 110 mi

79. ## Algebra

The Gulf Stream is a warm ocean current that extends from the eastern side of the Gulf of Mexico up through the Florida Straits and along the southeastern coast of the United States to Cape Hatteras, Nort Carolina. A boat travels with the current 110 mi

80. ## Physics

A child in danger of drowning in a river is being carried downstream by a current that has a speed of 2.35 km/hr. The child is 0.625 km from shore and 0.800 km upstream of a boat landing when a rescue boat sets out. If the boat proceeds at its maximum

81. ## math

A speed boat is travelling from Florida to Cuba (distance of approximately 380 km), it is directly affected by the water current. Thus, the actual speed of the boat with respect to the ground is the speed of the boat (125 km/h) plus the water current

82. ## Physics

A child in danger of drowning in a river is being carried downstream by a current that has a speed of 2.60km/h. The child is 0.565km from shore and 0.790km upstream of a boat landing when a rescue boat sets out. If the boat proceeds at its maximum speed of

A boat is traveling in a river with a current that has a speed of 1.5 km/h. In one hour, the boat can travel twice the distance downstream as it can travel upstream. What is the boat's speed in still water?

84. ## college math

boat travels 160 miles downstream in the same time that it takes to go 96 upstream. the pead of the stream is 6 mph. what is the speed of still water

85. ## Precalc

A boat that travels at 16 knots in calm water is sailing across a current of 3 knots on a river 250 m wide. The boat makes an angle of 35 degrees with the current heading into the current. Find the resultant velocity of the boat. How far upstream is the

86. ## Algebra

Miss Hapse is sailing a remote controlled model boat downstream in the Niagara river. She discovers that at full speed the model can cover 1128 feet in 2 minutes. Suddenly she realizes that the boat is only 240 feet from the falls! She turns it around and

87. ## algebra

the current in a stream moves at a speed of 2 mph. A boat travels 8mi upstream and 8mi downstream in a total time of 7 hr. What is the speed of the boat in still water

88. ## Algebra

The speed of the current is 4kph. A boat travels 6km upstream in the same time it takes to travel 10km downstream. What is the spees of the boat in still water?

89. ## Physics

A boat moves through the water of a river at 5 m/s relative to the water, regardless of the boat's direction. If the water in the river is flowing at 1.3 m/s, how long does it take the boat to make a round trip consisting of a 215 m displacement downstream

90. ## Physics

A boat moves through the water of a river at 5 m/s relative to the water, regardless of the boat's direction. If the water in the river is flowing at 1.3 m/s, how long does it take the boat to make a round trip consisting of a 215 m displacement downstream

91. ## math 116

A Coast-Guard patrol boat travels 4 hr on a trip downstream with a 6-mph current. The return trip against the same current takes 5 hr. Find the speed of the boat in still water

92. ## algebra

A boat traveling on the Snake River travels 24 miles upstream in 3 hours. The return trip takes the boat only 2 hours. Find the rate of the boat in still water.

93. ## Math

Boat travels 10 mi upstream and 10 mi downstream the stream is moving 1mph and the boat took 5 1/3hrs. What is the speed of boat if the stream still? I need help ASAP!!!! PLEASE!!!

94. ## Algebra

Boat travels 10 mi upstream and 10 mi downstream the stream is moving 1mph and the boat took 5 1/3hrs. What is the speed of boat if the stream still?

95. ## science-physics

a boat travels in still water at 2m/s. It is rowed across a river that flows at 1m/s. Determine the resultant velocity of the boat

96. ## physical

A 70-kg man and a 50-kg woman are in a 60-kg boat when its motor fails. The man dives into the water with a horizontal speed of 3m/s in order to swim ashore. If he changes his mind, can he swim back to the boat if his swimming speed is 1m/s? If not, can

97. ## physical science

A 70-kg man and a 50-kg woman are in a 60-kg boat when its motor fails. The man dives into the water with a horizontal speed of 3m/s in order to swim ashore. If he changes his mind, can he swim back to the boat if his swimming speed is 1m/s? If not, can

98. ## Physical science

A 70-kg man and a 50-kg woman are in a 60-kg boat when its’ motor fails. The man dives into the water with a horizontal speed of 3 m/s in order to swim ashore. If he changes his mind, can he swim back to the boat if his swimming speed is 1 m/s? If not,

99. ## Physical science

A 70-kg man and a 50-kg woman are in a 60-kg boat when its motor fails. The man dives into the water with a horizontal speed of 3m/s in order to swim ashore. If he changes his mind, can he swim back to the boat if his swimming speed is 1m/s? If not, can

100. ## Physics

A boat must cross a 260-m-wide river and arrive at a point 110 upstream from where it starts. To do so, the pilot must head the boat at a 45 degree upstream angle. THe current has speed 2.3 m/s. a) What is the speed of the boat in still water? b) How much