SOLUTION: A plane can fly 1200 miles in the same time as it takes a car to go 400 miles. If the car travels 100 mph slower than the plane, find the speed of the plane. Using r as yo

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Question 1187186: A plane can fly 1200 miles in the same time as it takes a car to go 400 miles. If the car travels 100 mph slower than the plane, find the speed of the plane.
Using
r
as your variable to represent the speed of the plane in miles per hour, write an equation using the information above that can be solved to find the answer to this problem.

Found 2 solutions by Alan3354, josgarithmetic:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
A plane can fly 1200 miles in the same time as it takes a car to go 400 miles. If the car travels 100 mph slower than the plane, find the speed of the plane.
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Using r as your variable to represent the speed of the plane in miles per hour, write an equation using the information above that can be solved to find the answer to this problem.
---------------------------
It goes 3 times as far in the same time, so it's 3 times as fast.
------
r = 3c (c = car's speed)
r = c + 100
---
3c = c + 100
2c = 100
c = 50
===================
r = 150 (not a fast plane)

Answer by josgarithmetic(39799)   (Show Source): You can put this solution on YOUR website!
             SPEEDS         TIMES             DISTANCE

PLANE        r              1200/r              1200

CAR          r-100           400/(r-100)         400

The two times were described as equal.









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