Question

An airplane travels 1800 miles from Los Angeles to Chicago in 3.6 hours going with the wind the return trip takes 4 hours and is against the wind find the rate of the airplane with no wind find the rate of the wind

PLEASE HELP

Answer 1

The speed of the airplane is 475 miles/hour and the wind is 25 miles/hour.

Explanation:

Let, the speed of the airplane is x miles/hour and the wind is w miles/hour.

With the wind, the speed will be (x + w) miles/hour and against the wind, the speed will be (x - w) miles/hour.

As per the given question,
`3.6(x + w) = 1800\\4(x - w) = 1800\\(x - w) = 450`or, w = x - 450.

Now,
`3.6(x + w) = 1800\\2x -450 = 500\\2x = 950\\x = 475`.

Thus, w = 475 - 450 = 25.