Asked May 16, 2019


when the wind is blowing at 25mph, a plane flying at a constant speed can travel 500 miles with the wind in the same amount of time it can fly 400 miles against the wind. Find the speed of the plane.



Expert Answer

Step 1


The rate at which the wind is blowing is 25mph.

At a constant speed a plan can fly 500 miles at this rate. siimilarly, it can fly 400 miles againt this wind at the same constant speed.

That is, the plane covers both distance in same amount of time.

Step 2


Let s be the speed of the plane.

The speed of the plane ath 25 mph is s + 25 and the speed of the plane against the wind is s - 25.

In general, time =distance/speed.

Let the time of the plane at both distance be

Step 3

Compute the speed of the plane as follows.

Since the time is constant, equate both&nb...


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