SOLUTION: If a parade is 1 mile long and marching at 3mph How long will it take a jogger at 5mph to run from the front of the parade to the end and back to the beginning?

Question 343992: If a parade is 1 mile long and marching at 3mph How long will it take a jogger at 5mph to run from the front of the parade to the end and back to the beginning?

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
If a parade is 1 mile long and marching at 3mph How long will it take a jogger at 5mph to run from the front of the parade to the end and back to the beginning?
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At 3 mph the back of the parade with cover 3x miles in x hrs.
In the same x hrs the jogger will cover 5x miles.
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Back of the parade and the jogger DATA:
The distance the back has moved plus the distance the runner has
moved is 1 mile (the length of the parade).
3x + 5x = 1 mile
8x = 1 mile
x = 1/8 hr.
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The jogger then needs to run the length of the parade (one mile)
to get back to the front of the parade.
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The joggers rate is 5 mph
Time for him to run the mile is distance/rate = 1/5 = 0.2 hrs.
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Total time for the jogger = (1/8 + 0.2) hrs.
= 0.325 hrs
0.325 hrs = 19.5 minutes
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Cheers,
Stan H.
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