Question 507419: Karen can jog to work in 4/5 of an hour. When she rides her bike, it takes her 3/10 of an hour. If she rides 12 miles per hour faster than she jogs, how far away is her work.
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! Karen can jog to work in 4/5 of an hour.
When she rides her bike, it takes her 3/10 of an hour.
If she rides 12 miles per hour faster than she jogs, how far away is her work.
:
Change 4/5 to .8 hr
Change 3/10 to .3 hr
:
Let s = his jogging speed
then
(s+12) = his riding speed
:
Write a distance equation, dist = speed * time
:
.8s = .3(s+12)
.8s = .3s + 3.6
.8s - .3s = 3.6
.5s = 3.6
multiply both sides by 2
s = 7.2 mph is his jogging speed
:
Find the distance: 7.2 * .8 = 5.76 mi
Check the distance: .3(7.2+12) = 5.76 mi
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