A Jet can travel at a rate or 525 miles per hour in calm air

A Jet can travel at a rate or 525 miles per hour in calm air. Traveling with the wind, the plane flew 1815 miles in the same time that it flew 1335 miles against the wind. Find the rate of the wind.

Solution

With-wind DATA:
distance = 1815 miles ; rate = 525+w; time = 1815/(525+w) hrs.
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Against-wind DATA:
distance 1335 miles ; rate = 525-w ; time = 1335/(525-w) hrs.
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Equation:
1815/(525+w) = 1335/(525-w)
Cross-multiply to get:
1815*525 - 1815w = 1335*525 + 1335w
480*525 = 3150w
wind speed is 80 mph