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With the wind, a plane flew 425 miles in the same time that it took to fly 375 miles against the wind. If the wind speed was 10 mph, what was the plane’s speed?

Question

With the wind, a plane flew 425 miles in the same time that it took to fly 375 miles against the wind. If the wind speed was 10 mph, what was the plane’s speed?

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Step 1

Let x denote the speed of the plane. The speed of the plane with the wind is x +10 and the speed of the plane against the wind is x –10.

Step 2

Obtain the formula for time as,

Speed Distance
time
Time Distance
Speed
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Speed Distance time Time Distance Speed

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Step 3

Given that, with the wind the plane flew 425 miles in same time ...

425
375
x10 x-10
425(x-10)375(x+10)
425x-375x 4250+3750
50x 8000
x 160
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425 375 x10 x-10 425(x-10)375(x+10) 425x-375x 4250+3750 50x 8000 x 160

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Algebra

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