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Joey C. asked • 07/15/15
Flying against the wind, a jet travels 1860 mi in 3 hours.
Flying against the wind, a jet travels 1860 mi in 3 hours. Flying with the wind, the same jet travels 9180 mi in 9 hours. What is the rate of the jet in still air and what is the rate of the wind?
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Andrew M. answered • 07/15/15
TUTOR New to Wyzant
Mathematics - Algebra a Specialty / F.I.T. Grad - B.S. w/Honors
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Let J = rate of jet in still air
Let W = rate of wind
Distance formula: d = rt so r = d/t
Flying against the wind the Jet flies at a rate of J - W = 1860mi/3hrs = 620 mph
Flying with the wind the Jet flies at a rate of J+W = 9180mi/9hrs = 1020 mph
The average of these two rate is the speed of the Jet in still air
J = (620+1020)/2 = 820 mph
J - W = 620 so
820 - W = 620
W = 820 - 620 = 200 mph
The Jet in still air flies at a rate of 820 mph
The wind speed is 200 mph