SOLUTION: sherie rides her bike at 5 miles per hour. her sister leaves 15 minutes later cycling 8 miles per hour. long will it take her sister to catch up to sherie?

Question 268766: sherie rides her bike at 5 miles per hour. her sister leaves 15 minutes later cycling 8 miles per hour. long will it take her sister to catch up to sherie?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
sherie rides her bike at 5 miles per hour.
her sister leaves 15 minutes later cycling 8 miles per hour.
long will it take her sister to catch up to sherie?
:
Change 15 min to 15/60 = .25 hrs
Let t = sister's travel time (in hrs)
then
(t+.25) = S's travel time
:
When sister catches S, they will have ridden the same distance.
Write a distance equation: Dist = speed * time
:
sister's dist = S's dist
8t = 5(t+.25)
8t = 5t + 1.25
8t - 5t = 1.25
3t = 1.25
t =
t = .4167 hrs or .4167 * 60 = 25 minutes to catch her
:
:
Check solution by finding the dist of each, should be the same
8(.4167) = 3.33 mi
5(.4167+.25) = 3.33 mi
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