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): An aircraft can fly 960 miles in 4 hours with the wind and travel the same distance against the wind in 6 hours. What is the wind speed? ------------------- let "p" be the speed of the plane in calm air Let "w" be the wind speed ------------------- With the wind DATA: distance = 960 miles ; time = 4 hrs ; rate = 960/4= 240 mph ------------------- Against the wind DATA: distance = 960 miles ; time = 6 hrs ; rate = 960/6 = 160 mph ------------------- Eqations: p + w = 240 mph p - w = 160 mph ------------------- 2p = 400 mph p = 200 mph (speed of the plane in calm air) ------------------- 200 + w = 240 w = 40 mph (wind speed) ======================== Cheers, Stan H..
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