SOLUTION: A jogger runs a distance at a speed of 8mph and returns the same distance running at a speed of 6 mph. Find the total distance that the jogger ran if the total time running was one

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Question 701569: A jogger runs a distance at a speed of 8mph and returns the same distance running at a speed of 6 mph. Find the total distance that the jogger ran if the total time running was one hour and forty-five minutes
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Basic relation applied is speed x time = distance. This also means that (time)=(distance)/(speed).
To see how to manage the numbers, set-up a table. Format like: Speed, Time, Distance.

Going: 8 mph, ( ), D
Returning: 6 mph, ( ), D.

You need to fill in the missing time information in the parentheses. That is where you use time=distance/speed. Full table would be:

Going: 8 mph, D/8, D
Returning: 6 mph, D/6, D

The total time from the tabulated information is %28D%2F8%29%2B%28D%2F6%29
and since total time is also given, 1.75 hours, if you like in decimal form, you then have that:
%28D%2F8%29%2B%28D%2F6%29=1.75, or if you prefer, %28D%2F8%29%2B%28D%2F6%29=1%263%2F4
To continue, simply solve for D.