SOLUTION: When the wind is blowing at 25 mph, a plane flying at a constant speed can travel 700 miles with the wind in the same about of time it can fly 600 miles against the wind. Find the

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Question 674031: When the wind is blowing at 25 mph, a plane flying at a constant speed can travel 700 miles with the wind in the same about of time it can fly 600 miles against the wind. Find the speed of the plane.

please and thanks
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
plane speed x mph
wind speed 25 mph

Distance with wind 700 miles
Distance against wind 600 miles

speed with wind x + 25 mph
speed against x -25 mph
Time with wind= 700 /( x + 25 )
time against wind 600 / ( x -25 )

Time with wind = time against

700/(x+25)=600/(x-25)
divide by 100
7/(x+25)=6/(x-25)
7(x-25)=6(x+25)
7x-175=6x+150
7x-6x=175+150
x=325
speed of plane = 325 mph