Problema Solution

A plane traveled 1568 miles to singapore and back. THe trip there was with the wind. It took 14 hours .The trip back was into the wind. The trip back took 28 hours. What is the speed of the plane in still air? What is the speed of the wind?

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A plane traveled 1568 miles to singapore and back. THe trip there was with the wind. It took 14 hours .The trip back was into the wind. The trip back took 28 hours. What is the speed of the plane in still air? What is the speed of the wind?

let the speed of wind = x miles/hour

speed of plane = y miles/hour

14= 1568/(x+y)

28 = 1568/(y-x)

=> y = 3x

=> x = 28 miles/hour

=> y = 84 miles/hour