SOLUTION: Using a system of equations in two variables, solve the following: Al and Bev traveled from their apartment to a picnic 20mi away. Al traveled on his bike while Bev, who left la

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Question 1201064: Using a system of equations in two variables, solve the following:
Al and Bev traveled from their apartment to a picnic 20mi away. Al traveled on his bike while Bev, who left later, took her car. Al's average rate was half of Bev's average rate. The trip took Al a half hr longer than Bev. What was Bev's average rate?

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
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Al and Bev traveled from their apartment to a picnic 20mi away. Al traveled on his bike while Bev, who left later, took her car. Al's average rate was half of Bev's average rate. The trip took Al a half hr longer than Bev. What was Bev's average rate?
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                 SPEED        TIME in hour    DISTANCE

AL (bike)           r         20/r             20

BEV (car)          2r        20/(2r)           20

DIFFERENCE                   1%2F2

Can you understand how to solve with the displayed information?
Do you really need to use two variables instead of the one?

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r is 20, so 2r is 40 miles per hour.