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A pilot flew his plane 2400 miles in 8 hours flying with the wind. Flying against the wind over the same route, he returned in 10 hours what was the rate of the plane and of the wind?

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musiclover10045

Against wind :2400 miles in 10 hours

With wind : 2400 miles in 8 hours

Speed of plane = x

Speed of wind = y

 

t=d/r

 

against the wind speed x-y mph

with the wind x=y mph

 

2400/(x-y)=10

2400 = 10x-10y

240 =x-y eq.1

2400/x+y=8

2400 = 8x+8y

300 = x+y eq 2

Add eq1 & eq 2 = 740 = 2x

X = 740/2 = 370 mph for plane

 

300 = 370 +y

Y = 370-300 = 70 mph wind speed

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