SOLUTION: An airplane travels 2070 miles in the same time that a car travels 240 miles. If the rate of the plane is 366 miles per hour faster than the rate of the car, find the rate of the p

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: An airplane travels 2070 miles in the same time that a car travels 240 miles. If the rate of the plane is 366 miles per hour faster than the rate of the car, find the rate of the p      Log On

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Question 990769: An airplane travels 2070 miles in the same time that a car travels 240 miles. If the rate of the plane is 366 miles per hour faster than the rate of the car, find the rate of the plane.

Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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P=rate of plane
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2070mi/P=240mi/(P-366mph)
(240mi)P=(2070mi)(P-366mph)
(240mi)P=(2070mi)P-(757620mi^2/hr)
(-1830mi)P=-757620mi^2/hr
P=414mi/hr
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ANSWER: The rate of the plane was 414 miles per hour.
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Car's rate=C=P-366mph=414mph-366mph=48mph
The car's rate is 48 miles per hour.
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(2070mi)/(414mph)=(240mi)/(48mph)
5 hours=5 hours