SOLUTION: If walking one way @ 3 Miles Per Hour and jogging back @ 5 miles per hour. How many miles is traveled in 1 Hour?

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Question 315520: If walking one way @ 3 Miles Per Hour and jogging back @ 5 miles per hour. How many miles is traveled in 1 Hour?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
If walking one way @ 3 Miles Per Hour and jogging back @ 5 miles per hour.
How many miles is traveled in 1 Hour?
:
let d = dist one way
:
Write a time equation; time = dist/speed:
:
d%2F3 + d%2F5 = 1
multiply by 15, results
5d + 3d = 15
d = 15%2F8
d = 1.875 mi one way
total dist: 2(1.875) = 3.75 mi traveled in 1 hr
;
:
Check by finding the total time:
1.875/3 = .625
1.875/5 = .325
----------------
total time: 1 hr
:
Response to Student comment,"I don't understand why the 1.875 is the distance one way only..please help explain"
I defined d as the distance one way, so the total distance would be 2d which took a total of 1 hr:
The equation:
time out + time return = 1 hr
d%2F3 + d%2F5 = 1
:
Did this explain it sufficiently? Carl