Word Problem Help

Question

A plane has a cruising speed of 300 miles per hour when there is no wind. At this speed, the plane flew 600 miles with the wind in the same amount of time it flew 400  miles against the wind. Find the speed of the wind.

Answer 1

wind speed = 60 mph = w

300 + w = 600/t

300 -w = 400/t

2w = 200/t

w =100/t

time t = 10/6 = 5/3= 1 hour 40 minutes