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

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) (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.

-----------------

For simple Travel & Distance problems, see introductory lessons
    - Travel and Distance problems
    - Travel and Distance problems for two bodies moving in opposite directions
    - Travel and Distance problems for two bodies moving in the same direction (catching up)
in this site.

They are written specially for you.

You will find the solutions of many similar problems there.

Read them and learn once and for all from these lessons on how to solve simple Travel and Distance problems.

Become an expert in this area.

RELATED QUESTIONS
Rate time distance Practice problem Paul and Isaac both leave the internet cafe at the (answered by josgarithmetic)

Practice Age word Problem Paul and Isaac both leave the internet cafe at the same... (answered by ewatrrr)

Rate time distance Practice problem Michael and Sergio both leave the library at the (answered by josgarithmetic)

Erin and Jamie both leave the park at the same time, but in opposite directions. If Jamie (answered by jorel1380)

Skyler and Roberto both leave the bookstore at the same time, but in opposite directions. (answered by robertb)

Cody and Jeff both leave the park at the same time, but in opposite directions. If Jeff... (answered by Boreal)

Bella and Regina both leave the mall at the same time, but in opposite directions. If... (answered by ikleyn,math_tutor2020,Alan3354)

John and Aponi both leave the study group at the same time, but in opposite directions.... (answered by josgarithmetic,ikleyn)

Alexis and Rosa both leave the bookstore at the same time, but in opposite directions. If (answered by Boreal)