An airplane takes 4 hours to travel a distance of 2400 miles with the wind. The return trip takes 5 hours against the wind. Find the speed of the plane in still air and the speed of the wind.

Question

gavin39 · Answer

Last question on my quiz if anyone can help real fast

gavin39 · Answer

homework***

ben00 · Answer

try dividing, divide 2400 by 400.

danjs · Answer

Here are vectors for the velocity of the plane and wind
|dw:1475033160937:dw|

gavin39 · Answer

So it would be 600 mph for the plane? I thought it would be 600, but kept confusing myself. Especially with the wind speed

gavin39 · Answer

So for the wind it would be 600/5

gavin39 · Answer

Im assuming

danjs · Answer

overall velocity on the way there

V = P + W

Overall on the way back

v = P - W

danjs · Answer

(2400/4 ) mi/h  = P + W
(2400/5) mi/h = P - W

solve that

ben00 · Answer

how fast is the wind?

gavin39 · Answer

120 I believe?

ben00 · Answer

alright so plane speed is 600 and wind speed is 120.

gavin39 · Answer

Yeah I'm fairly sure 120

gavin39 · Answer

Awesome. Thanks guys!

ben00 · Answer

give medal to us then.

danjs · Answer

Wind W and PLane P
600 = P + W
480 = P - W

Solving that gives, P=540, W=60