SOLUTION: Two buses leave a station at the same time and travel in opposite directions. One bus travels 8kmh faster than the other. If the two buses are 976 kilometers apart after 4 hours, w

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Question 1189736: Two buses leave a station at the same time and travel in opposite directions. One bus travels 8kmh faster than the other. If the two buses are 976 kilometers apart after 4 hours, what is the rate of each bus?
Answer by ikleyn(52775) About Me  (Show Source):
You can put this solution on YOUR website!
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Two buses leave a station at the same time and travel in opposite directions.
One bus travels 8kmh faster than the other. If the two buses are 976 kilometers apart
after 4 hours, what is the rate of each bus?
~~~~~~~~~~~~~~ 

Let x be the rate of the slower bus, in kilometers per hour.

Then the rate of the other bus is (x+8) km/h.


Write the total distance equation

    4x + 4*(x+8) = 976.


Simplify and find x

    4x + 4x + 32 = 976

       8x        = 976 - 32 

       8x        = 944

        x        = 944/8 = 118.


ANSWER.  The slower bus speed is  118 km/h.  The faster bus speed is  118+8 = 126 km/h.


CHECK.   4*118 + 4*126 = 976 kilometers, total distance.   ! Precisely correct !

Solved.

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