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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

Respuesta :

Answer:

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

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, [tex]3.6(x + w) = 1800\\4(x - w) = 1800\\(x - w) = 450[/tex]or, w = x - 450.

Now, [tex]3.6(x + w) = 1800\\2x -450 = 500\\2x = 950\\x = 475[/tex].

Thus, w = 475 - 450 = 25.

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