SOLUTION: a pilot can travel 363miles with the wind in the same amount of time as 297 miles against the wind. Find the speed of the wind if the pilot speed in still air is 210mph?

Question 870651: a pilot can travel 363miles with the wind in the same amount of time as 297 miles against the wind. Find the speed of the wind if the pilot speed in still air is 210mph?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Plane speed = 210 mph
wind speed given = x mph

speed against wind 210 - x
speed with wind 210 + x

Distance against wind 297 miles
Distance with wind 363 miles

t=d/r time against = time with wind -
297 / ( 210 - x )= 363 / ( 210 + x )
297 ( 210 + x )= 363 ( 210 -x )
62370 + 297 x = 76230 - -363 x
363 x 297 x 76230 + -62370
660 x = 13860
/ 660
x = 21 mph wind speed

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