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

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) (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
and since total time is also given, 1.75 hours, if you like in decimal form, you then have that:
, or if you prefer,
To continue, simply solve for D.
RELATED QUESTIONS
A jogger runs a distance at a speed of 8mph and returns the same distance running at a... (answered by josmiceli)

a jogger runs a distance at a speed of 8 miles per hour and returns the same distance... (answered by Alan3354)

A jogger runs a distance at a speed of 8 mph and returns the same distance running at a... (answered by josmiceli)

a jogger runs a distance at a speed of 8 miles per hour and Returns the same distance... (answered by josgarithmetic,MathTherapy)

A car travels at a speed of 20 mph over a certain distance and then returns over the same (answered by nyc_function)

Andrea has 4 hours to spend training for an upcoming race. She completes her training by (answered by ikleyn,josgarithmetic,MathTherapy,richwmiller)

Dana has 6 hours to spend training for an upcoming race. She completes her training by... (answered by Alan3354)

April has 1 hour to spend training for an upcoming race. She completes her training by... (answered by ankor@dixie-net.com)

Quinn has 5 hours to spend training for an upcoming race. She completes her training by... (answered by josmiceli)