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4 October, 10:30

Flying against the wind, a jet travels 4400mi in 8 hours. Flying with the wind, the same jet travels 5820mi in 6 hours. What is the rate of the jet in still air and what is the rate of the wind?

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  1. 4 October, 10:36
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    Let J = rate of jet in still airLet W = rate of wind Distance formula: d = rt / r = d/t Flying against the wind the jet flies at a rate of J - W = 1860 miles/3 hours = 620 miles per hourFlying with the wind the jet flies at a rate of J+W = 9180 miles/9 hours = 1020 miles per hour The average of these 2 rate is the speed of the jet in still air J = (620+1020) / 2 = 820 miles per hour J - W = 620

    820 - W = 620

    W = 820 - 620 = 200 miles per hour The jet in still air flies at a rate of 820 mph (miles per hour) The wind speed is 200 mph (miles per hour)
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