SOLUTION: Hi, I need help solving this word problem. Its seems we need to find two answers but not sure how to. Word Problem; "Two buses leave towns 610 km apart at the same time and tr

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


Then the rate of the other bus is (x+5) kilometers per hour, according to the condition.


In 4 hours, the slower bus traveled  4*x kilometers, while the faster bus traveled 4*(x+5) kilometers.


In 4 hours, they meet each other, which means that the sum of the traveled distances is the total distance


    4x + 4*(x+5) = 610  kilometers.


Thus you get your basic equation. Now your task is to solve it.
For it, simplify the equation step by step.


    4x + 4x + 20 = 610

    8x           = 610 - 20

    8x           = 590

     x           = 590/8 = 73.75 kilometers per hour.


Thus you found the rate of the slower bus.

Then the rate of the faster bus is  73.75 + 5 = 78.75 km/h.


CHECK.  4*73.75 + 4*78.75 = 610 kilometers.   ! Precisely correct !


ANSWER.  73.75 km/h for the slower bus  and  78.75 km/h for the faster bus.