SOLUTION: a plane can fly 980 miles in the same time it takes a car to go 350 miles. If the car travels 90 mph slower than the plane, find the speed of the plane

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Question 1009848: a plane can fly 980 miles in the same time it takes a car to go 350 miles. If the car travels 90 mph slower than the plane, find the speed of the plane
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Let's call the rate of the plane, r. thus the rate of the car is r - 90.
We know that in general rt = d, or t = d/r.
Since the times are equal, we can then set up a proportion to solve...
980%2Fr+=+350%2F%28r-90%29
Now cross-multiply and solve
980(r-90) = 350r
980r - 88200 = 350r
-88200 = -630r
r = 140 mph