Question

A small plane flew 708 miles in 3 hours with the wind. Then on the return trip, flying against the wind, it traveled only 420 miles in 3 hours. What were the wind velocity and the speed of the plane? (Note: The "speed of the plane" means how fast the plane would be flying with no wind.)​

Answer 1

against the wind:

x - y = 715/(2+10/60)

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with the wind:

x + y = 715/(1+50/60)

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put the system of linear equations into standard form

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x - y = 715/(2+10/60)

x + y = 715/(1+50/60)

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x - y = 330

Explanation: