SOLUTION: A twin-engine plane flies 400 mi in the same amount of time it takes a single-engine plane to fly 240 mi. The rate of the twin-engine plane is 80 mph faster than the rate of the si

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Question 1101739: A twin-engine plane flies 400 mi in the same amount of time it takes a single-engine plane to fly 240 mi. The rate of the twin-engine plane is 80 mph faster than the rate of the single-engine plane. Find the rate of the single-engine plane.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A twin-engine plane flies 400 mi in the same amount of time it takes a single-engine plane to fly 240 mi. The rate of the twin-engine plane is 80 mph faster than the rate of the single-engine plane. Find the rate of the single-engine plane.
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Twin-engine DATA::
dist = 400 mi; rate = r+80 mph
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Single-engine DATA::
dist = 240 mi ; rate = r mph
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Equation::
time = time
400/(r+80) = 240/r
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400r = 240(r+80)
400r = 240r + 19200
160r = 19200
r = 120 mph (single-engine plane rate)
r + 80 = 200 mph (double-engine plane rate)
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Cheers,
Stan H.
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