# algebra

posted by .

Flying with the wind, a pilot flew 600 mi between two cities in 4 h. The return trip against the wind took 5 h. Find the rate of the plane in calm air and the rate of the wind. Please show work. thanks

• algebra -

Distance (times) rate (times) time

Let p represent the speed of the plane in still air

Let w represent the speed of the wind

600= (p+w)(4)
600= (p-w)(5)

600 divided by 4= 150= p+w
600 divided by 5= 120= p-w

150+120= 270=2p
--- ---
divide 2 2

=135 =p

p+w= 150
135+w= 150
-135 -135
--------------
w = 15

The speed of the plane in still air is 135 mph.

The speed of the wind is 15 mph.

## Similar Questions

1. ### Algebra

Beth is a bush pilot in Alaska. On a recent trip, she flew 600 miles with a tail wind in four hours. On the return trip, it took five hours to fly the 600 miles against the wind. Find the speed of the plane with no wind. Could you …
2. ### Algebra

Flying with the wind, a small plane flew 360 miles in 2hours. Against the wind, the plane could fly only 300 miles in the same amount of time. Find the rate of the plane in calm air and the rate of the wind. I cant figure out how to …
3. ### Algebra

Flying with the wind, a small plane flew 360 miles in 2hours. Against the wind, the plane could fly only 300 miles in the same amount of time. Find the rate of the plane in calm air and the rate of the wind. I cant figure out how to …
4. ### math

In a storm, a plane flew against the wind and took 9 hours to cover 3,600 miles. The return trip, traveling with the wind, took 1 hour less. find the air speed of the plane, and the speed of the wind.
5. ### Algebra 2

Flying with the wind, a small plane flew 332 mi in 2 h. Flying against the wind, the plane could fly only 318 mi in the same amount of time. Find the rate of the plane in calm air and the rate of the wind
6. ### algebra

Flying with the wind, a plane traveled 390 miles in 3 hours. Flying against the wind, the plane traveled the same distance in 5 hours. Find the rate of the plane in calm air and the rate of the wind. rate of plane ?
7. ### algebra

Flying with the wind, a plane traveled 570 miles in 3 hours. Flying against the wind, the plane traveled the same distance in 5 hours. Find the rate of the plane in calm air and the rate of the wind. Rate of plane ______mph Rate of …
8. ### math

Flying with the wind, a plane traveled 570 miles in 3 hours. Flying against the wind, the plane traveled the same distance in 5 hours. Find the rate of the plane in calm air and the rate of the wind. Rate of plane ______mph Rate of …
9. ### math

Flying with the wind, a plane traveled 570 miles in 3 hours. Flying against the wind, the plane traveled the same distance in 5 hours. Find the rate of the plane in calm air and the rate of the wind. Rate of plane ______mph Rate of …
10. ### Algebra

A pilot flew a 400-mile flight in 2.5 hours flying into the wind. Flying the same rate and with the same wind speed, the return trip took only 2 hours, with a tailwind. What was the speed of the wind?

More Similar Questions