SOLUTION: Mike takes the same amount of time to walk 3 miles as it takes Bryan to ride his bicycle 5 miles. If Bryan travels 5 miles per hour faster than Mike, what is Bryan's rate of speed

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Question 192053: Mike takes the same amount of time to walk 3 miles as it takes Bryan to ride his bicycle 5 miles. If Bryan travels 5 miles per hour faster than Mike, what is Bryan's rate of speed?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Mike takes the same amount of time to walk 3 miles as it takes Bryan to ride his bicycle 5 miles.
If Bryan travels 5 miles per hour faster than Mike, what is Bryan's rate of speed?
:
Let s = Bryan's bike speed
Then
(s-5) = Mike's walking speed
:
Write a time equation; time = dist%2Fspeed
:
B's time = M's time
5%2Fs = 3%2F%28%28s-5%29%29
cross multiply:
5(s-5) = 3s
:
5s - 25 = 3s
:
5s - 3s = 25
:
2s = 25
s = 25%2F2
s = 12.5 mph is Bryan's bike speed
and
12.5 - 5 = 7.5 mph is M's walking speed
:
:
Check solution by finding the times:
5/12.5 = .4 hrs
3/7.5 = .4 hrs