SOLUTION: Two runners leave from the same location traveling in opposite directions. The first runner is running at 7 mph and the second is running at 9 mph. How long have they been running

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Question 406816: Two runners leave from the same location traveling in opposite directions. The first runner is running at 7 mph and the second is running at 9 mph. How long have they been running when they are 24 miles apart?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
Two runners leave from the same location traveling in opposite directions.
The first runner is running at 7 mph and the second is running at 9 mph.
How long have they been running when they are 24 miles apart?
Let x and (24-x) represent the Distance ran at 7mph and 9mph repectively
Question states*** (Note: d = r*t or t = D/r)
x%2F7mph+=+%2824-x%29%2F9mph
Solving for x by cross multiplying
9x = 7(24-x)
16x = 168
x = 10.5mi, distance ran by 7mph runner
Time = 10.5mi/7mph = 1.5hr,the time they have been running
CHECKING our Answer***
7mph*1.5hr + 9mph*1.5hr = 10.5mi + 13.5mi = 24mi