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

Question

3 years ago

14

against the wind find the rate of the airplane with no wind find the rate of the wind
PLEASE HELP

1 answer:

brilliants [131] · Answer 1 · 2022-06-07T21:31:56+03:00

Answer:

<h2>The speed of the airplane is 475 miles/hour and the wind is 25 miles/hour.</h2>

Step-by-step 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.