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Original Post
CaptainUnderpants Posted at 5:02 pm on May 30, 2008
A plane can fly 480 miles per hour (mph) when there is no wind. If there is wind blowing at a constant rate, the plane can fly 618 miles downwind in the same amount of time it can fly 534 miles upwind. Find the speed of the wind. Hint: when flying downwind, the speed of the plane increases by the amount of the windspeed. When flying upwind, the plane's speed decreases by the same amount.

Replies
Khadgar Posted at 5:16 pm on May 30, 2008
Continuing,

534(480 + x) = 618(480 - x)
256320 + 534x = 296640 - 618x
1152x = 40320
x = 35

The speed of the wind is 35 miles per hour.

CaptainUnderpants Posted at 5:07 pm on May 30, 2008
Quote: from Khadgar at 8:06 pm on May 30, 2008

618____-color=green==_____534
(480 + x)__(480-x)

thanks a fuckin lot.

Khadgar Posted at 5:06 pm on May 30, 2008

You know that the plane could travel 618 miles at the downwind speed in the same time that it could travel 534 miles at the upwind speed. The speed of the plane with no wind is 480 miles an hour, so lets let the speed of the wind be x. Therefore, the speed of the plane downwind is 480 + x, and the speed of the plane upwind is 480 - x.

618 / (480 + x) = 534 / (480-x)

Solve for x.


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