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A small plane, flying into a headwind, flew 500 miles in 7 h. Flying with the wind, the plane traveled 1150 miles in 4 h.

A small plane, flying into a headwind, flew 500 miles in 7 h. Flying with the wind, the plane traveled 1150 miles in 4 h. Find the rate of the plane in calm air and the rate of the wind. Round your answer to nearest whole number.

Answer is plane: 150 mph; wind: 79 mph, but need an explanation of how to work problem. Thank you

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