SOLUTION: A plane can fly 390 miles in the same time as it takes a car to go 150 miles. If the car travels 80 mph slower than the plane, find the speed of the plane.

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Question 1060104: A plane can fly 390 miles in the same time as it takes a car to go 150 miles. If the car travels 80 mph slower than the plane, find the speed of the plane.
Answer by ikleyn(52884) About Me  (Show Source):
You can put this solution on YOUR website!
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A plane can fly 390 miles in the same time as it takes a car to go 150 miles. If the car travels 80 mph slower than the plane,
find the speed of the plane.
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Let "u" be the speed of the plane under the question, in mph.

Then the car' speed is (u-80) mph.

The equation is

390%2Fu = 150%2F%28u-80%29.

To solve it, multiply both sides by u*(u-80). You will get

390(u-80) = 150u,

390u - 390*80 = 150u,

390 - 150u = 390*80,

240u = 31200,   --->  u = 31200%2F240 = 130.


Answer.  The speed of the plane is 130 miles per hour.