A plane traveled 3015 miles with the wind in 4.5 hours and 2475 miles against the wind in the same amount of time. Find the speed of the plane in still air and the speed of the wind.

Question

A plane traveled

30153015

miles with the wind in

4.54.5

hours and

24752475

miles against the wind in the same amount of time. Find the speed of the plane in still air and the speed of the wind.

Answer 1

These used to get me, too. Remember that the total rate with the wind is the plane speed plus the wind speed. Against the wind is plane minus wind.

d = rt

4.5(p + w) = 3015

4.5(p - w) = 2475

p + w = 670

p - w = 550

2p = 1220

p = 610

610 + w = 670

w = 60