SOLUTION: George jogged downhill at 6 mi/h and then jogged back up at 4mi/h. If the total jogging time was 1.25 h, how far did he jog in all?

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Question 289706: George jogged downhill at 6 mi/h and then jogged back up at 4mi/h. If the total jogging time was 1.25 h, how far did he jog in all?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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George jogged downhill at 6 mi/h and then jogged back up at 4mi/h.
If the total jogging time was 1.25 h, how far did he jog in all?
:
Let d = dist up the hill
Same distance down the hill
:
Write a time equation: Time = dist/speed
:
down time + up time = 1.25 hr
d%2F6 + d%2F4 = 1.25
Multiply by 12 to get rid of the denominators, results
2d + 3d = 12(1.25)
5d = 15
d = 3 mi up and 3 mi down
:
Total dist = 6 mi
:
:
Check solution, find the time
3/6 + 3/4 =
.5 + .75 = 1.25