SOLUTION: I can walk 2 mph and jog at 5 mph. I get home from the bus stop 4 minutes quicker if I jog instead of walk. How far do I live from the bus stop?

Question 1013735: I can walk 2 mph and jog at 5 mph. I get home from the bus stop 4 minutes quicker if I jog instead of walk. How far do I live from the bus stop?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
I can walk 2 mph and jog at 5 mph.
I get home from the bus stop 4 minutes quicker if I jog instead of walk.
How far do I live from the bus stop?
:
let d = distance to the bus stop
We are using mph, so time has to be in hrs: 4/60 hrs
:
Write a time equation
:
walk time - jog time = 4 min
- =
Multiply equation by 60, cancel out the denominators
30d - 12d = 4
18d = 4
d = 4/18
d = 2/9 mi to the bus stop
:
:
See if this checks out, find the actual speed at each 2/9 ~ .22 mi
.22/2 = .11 hrs
.22/5 = .04 hrs
-------------
time dif: .07 hrs. .07(60) = 4.2 min, only close because of decimals

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