SOLUTION: Two runners leave from the same location traveling in opposite directions. The first runner is running at 8 mph and the second is running at 10 mph. How long have they been running

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Question 361965: Two runners leave from the same location traveling in opposite directions. The first runner is running at 8 mph and the second is running at 10 mph. How long have they been running when they are 36 miles apart?

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi
Note: d = r*t or t= d/r
Let x represent the distance the first runner travels, (36-x) will be the other's
each will have traveled the same amount of time

cross multiply to slove for x
10x = 8*36 - 8x
18x = 8*36
x = 16mi
t = d/r
t = 16/8 = 2 hrs
checking our answer
2hr*8mph + 2hr*10mph = 36mi apart
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