SOLUTION: Kosumi and Rahquez both leave the internet cafe at the same time, but in opposite directions. If Rahquez travels 5 mph faster than Kosumi and after 8 hours they are 264 miles apart

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Question 1196158: Kosumi and Rahquez both leave the internet cafe at the same time, but in opposite directions. If Rahquez travels 5 mph faster than Kosumi and after 8 hours they are 264 miles apart, how fast is each traveling?
Answer by ikleyn(52794) About Me  (Show Source):
You can put this solution on YOUR website!
.

Let x be the slower rate (in miles per hour); then the faster rate is (x+5) mph.


Write an equation for the total separating distance

    8*x + 8*(x+5) = 264.


Simplify step by step

    8x + 8x + 40 = 264

      16x        = 264 - 40

      16x        =   224

        x        =   224/16 = 14.


ANSWER.  The slower rate was 14 mph;  the faster rate was 14 + 5 = 19 mph.


CHECK.  8*14 + 8*19 = 264 miles, the total separating distance.   ! Correct !

Solved.

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    - Travel and Distance problems for two bodies moving in the same direction (catching up)
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