Can you help me solve this word problem?

Question

A plane flies 440 miles with the wind and 340 miles against the wind in the same length of time. If the speed of the wind is 25 mph, find the speed of the plane in still air.

Answer 1

Alright, Nikki, let's do this thing.

 

Let's let the speed = s.

 

Then, the rate with the wind is s + 25 and against the wind is s - 25.

 

We know that distance = rate x time, so time = distance/rate.

 

We have, then, 440/(s+25) = 340/(s-25) since the times are the SAME.

 

Cross multiply and get 440(s-25) = 340(s+25).

 

Can you solve from here?