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Against the wind a commercial airline in South America flew 630 miles in 3.5 hours. With a tailwind the return trip took 3 hours. What was the speed of the plane in still air? What was the speed of the wind?

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Answer:

The speed of plane is
195\ mph, and speed wind is
15\ mph.

Explanation:

Given against the wind the airline flew
630 miles in
3.5 hours.

including the tailwind the return trip took
3 hours.

Let speed of plane is
x.

Also, speed of the wind is
y.

Now, we will find speed on each case.

Speed against the wind is
(630)/(3.5)=180\ mph

Speed with the wind is
(630)/(3)=210\ mph

Now, we will write the equation


x+y=210\\x-y=180

Add these equation we get,


2x=390\\x=(390)/(2)\\x=195\ mph

Now, plug this value in
x+y=210 to get speed of wind


195+y=210\\y=210-195\\y=15\ mph

So, the speed of plane in still air is
195\ mph, and speed of the wind is
15\ mph.

User Mirsik
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