SOLUTION: An airplane can fly 550 miles with the wind in the same amount of time it takes to fly 425 miles against the wind. Find the speed of the wind, if the airplane is flying at a consta
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Question 1124623: An airplane can fly 550 miles with the wind in the same amount of time it takes to fly 425 miles against the wind. Find the speed of the wind, if the airplane is flying at a constant speed of 195 miles per hour. Answer by ikleyn(52776) (Show Source):
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An airplane can fly 550 miles with the wind in the same amount of time it takes to fly 425 miles against the wind.
Find the speed of the wind, if the airplane is flying at a constant speed of 195 miles per hour .
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Let r be the speed of the wind.
The time equation is
=
To solve it, cross multiply
550*(195-r) = 425*(195+r)
Divide both sides by 25
22*(195-r) = 17*(195+r)
22*195 - 22r = 17*195 + 17r
22*195 - 17*195 = 22r + 17r
r = = 25 miles per hour.
Answer. The speed of the wind is 25 miles per hour.
