SOLUTION: Two joggers, one averaging 6 mph and one averaging 5 mph, start from a designated initial point. The slower jogger arrives at the end of the run 15 minutes after the other jogger.

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Question 351579: Two joggers, one averaging 6 mph and one averaging 5 mph, start from a designated initial point. The slower jogger arrives at the end of the run 15 minutes after the other jogger. Find the distance of the run.
Answer by sofiyac(983) About Me  (Show Source):
You can put this solution on YOUR website!
distance=time*speed
Since they are each running the same distance, speed*time of first jogger will equal speed*time of the second jogger.
Let the time of the fast jogger be t then the time of the slower jogger is t+15
6t=5%28t%2B15%29
6t=5t%2B75%29 subtract 5t from each side
t=75%29 so the time of faster jogger is 75 minutes which is 1.25 hours.
Then we use the distance formula to find the distance
distance=6*1.25=7.5 miles