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#### bergausstein

##### Active member

- Jul 30, 2013

- 191

A jogger running at the rate of 4 miles per hour takes 45 minutes more than a car traveling at 40 miles per hour to cover a certain course. How long does it take the jogger to

complete the course and what is the length of the course?

i tried to solve this using this method

i let

$x=$ joggers time to complete the course

$x-\frac{3}{4}=$ car time to complete the course

then,

$4x=40\left(x-\frac{3}{4}\right)$

$x=\frac{5}{6}$ or $50$ minutes.

now when i used another method

i let

$x=$time for car to complete the course

$x+\frac{3}{4}=$ jogger's time to complete the course

$40x=4\left(x+\frac{3}{4}\right)$

i get a different answer $x=$12

can you tell me what's the difference between the two solutions i used and which one is correct?

thanks!

complete the course and what is the length of the course?

i tried to solve this using this method

i let

$x=$ joggers time to complete the course

$x-\frac{3}{4}=$ car time to complete the course

then,

$4x=40\left(x-\frac{3}{4}\right)$

$x=\frac{5}{6}$ or $50$ minutes.

now when i used another method

i let

$x=$time for car to complete the course

$x+\frac{3}{4}=$ jogger's time to complete the course

$40x=4\left(x+\frac{3}{4}\right)$

i get a different answer $x=$12

can you tell me what's the difference between the two solutions i used and which one is correct?

thanks!

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