# 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 plane's speed in still air, and how fast is the wind blowing?

1. 👍
2. 👎
3. 👁
1. Plane's speed --- x mph
wind speed ----- y mph

2(x-y) = 180
x-y = 90

1(x+y) = 180
x+y = 180
x = 135

back in x+y= 180
135+y=180
y = 45

state a proper conclusion.

1. 👍
2. 👎

## Similar Questions

1. ### Physics

A commuter airplane starts from an airport and takes the route shown in the figure below. The plane first flies to city A, located 175 km away in a direction 30.0° north of east. Next, it flies for 150 km 20.0° west of north, to

2. ### Calculus

A road running north to south crosses a road going east to west at the point P. Car A is driving north along the first road, and an airplane is flying east above the second road. At a particular time the car is 15 kilometers to

3. ### math

An airplane leaves Atlanta at 2 PM and flies north at 250 miles per hour. A second airplane leaves Atlanta 30 minutes later and flies north at 280 miles per hour. At what time will the second airplane overtake the first? Answer

4. ### physics

You're in an airplane that flies horizontally with speed 860 km/h (240 m/s ) when an engine falls off. Neglecting air resistance, assume it takes 26 s for the engine to hit the ground. Hight of airplane is: H = 3.3 km horizontal

1. ### English

Which of the following lists of places requires semicolons instead of commas?(1 point) A. North Dakota, South Dakota, North Carolina, South Carolina, and West Virginia B.Sacramento, California, Denver, Colorado, Phoenix, Arizona,

2. ### Physics

An airplane flies 220 km due east, makes a right-angle, and then flies 400 km due north. Find the magnitude of the plane's displacement from it's starting point. Neglect the culrvature of the earth

3. ### 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

4. ### Physics

An airplane flies at 65 m/s in the direction 149 degrees counter clockwise from east. What are the east and north components of the plane's velocity?

1. ### algebra 1

a model airplane flies 18 feet in 2 seconds. What is the airplane's speed in miles per hour?

2. ### geometry

When the sun’s rays are at an angle of 39°, the distance from the top of Dakota’s head to the tip of her shadow is 77 inches. About how tall is Dakota? Round your answer to the nearest inch if necessary.

3. ### math

An airplane flies from Ft. Myers to Sarasota, a distance of 150 miles, and then turns through an angle of 50° and flies to Orlando, a distance of 100 miles (see the figure). (a) How far is it from Ft. Myers to Orlando? (b)

4. ### physics

You're in an airplane that flies horizontally with speed 830km/h (230m/s ) when an engine falls off. Neglecting air resistance, assume it takes 35s for the engine to hit the ground. Find the height of airplane. Find the horizontal