Question

Flying to the wind, an airplane takes 4 hours to go 960 km. The same plane flying with the wind takes only 3 hours to make the same trip. Find the speed of the plane and the speed of the wind.

I wasn't here for the lesson from my teacher but told me to ask my classmates but there not replying to me. I know distance = speed over time. I tryed using the substituion method but idk i just mess up. Thanks.

Answers

You have to consider the speed of the plane without wind and the speed of the wind itself

Let the speed of the plane in still air be x km/h
le the speed of the wind be y km/h

so going with the wind -- speed is x+y mph
going against the wind -- speed is x - y mph

2 equations:
4(x-y) = 960
4x - 4y = 960
x - y = 240 ----- #1

3(x+y) = 960
3x + 3y = 960
x + y = 320 ----#2

these are easy to solve, just add them and after that its simple

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