SOLUTION: Amanda 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 10 miles per hour faster than she jogs, how far away is her work?

Question 399547: Amanda 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 10 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!
Amanda 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 10 miles per hour faster than she jogs, how far away is her work?
:
We can use decimals: 4/5 = .8 hrs; 3/10 = .3 hrs
:
Find her speed jogging first
let s = her speed jogging
then
(s+10) = her speed biking
:
Write a distance equation, dist = speed * time
jog dist = bike dist
.8s = .3(s+10)
.8s = .3s + 3
.8s - .3s = 3
.5s = 3
s = 3/.5
s = 6 mph is her jogging speed.
find the dist
.8 * 6 = 4.8 mi to work
:
Check it by finding the dist on the bike (6+10 = 16 mph)
.3 * 16 = 4.8 mi also
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