SOLUTION: If John went from his house to school at 3mph and back home at 5mph how many miles did he go if this took 1 hour.

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Question 295053: If John went from his house to school at 3mph and back home at 5mph how many miles did he go if this took 1 hour.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
If John went from his house to school at 3mph and back home at 5mph
how many miles did he go if this took 1 hour.
:
Let d = the distance, house to school; it's also the return distance
:
Write a time equation: Time = dist/speed
:
d%2F3 + d%2F5 = 1
multiply by 15, results
5d + 3d = 15
;
8d = 15
d = 15%2F8
d = 1.875 one way
therefore
2(1.875) = 3.75 mi total dist in 1 hr
:
:
Check solution by finding the times
1.875/3 = .625 hr
1.875/5 = .375 hr
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total time: 1 hr