SOLUTION: Paul bikes for 3 hours to reach his favorite beach. He bikes 2 miles per hour faster on the way back. So the trip takes only 2.5 hours. How fast did he bike going to the beach?

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Question 990108: Paul bikes for 3 hours to reach his favorite beach. He bikes 2 miles per hour faster on the way back. So the trip takes only 2.5 hours. How fast did he bike going to the beach?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Paul bikes for 3 hours to reach his favorite beach.
He bikes 2 miles per hour faster on the way back.
So the trip takes only 2.5 hours.
How fast did he bike going to the beach?
:
let s = the slower speed
then
(s+2) = the faster speed
:
Write a distance equation, the dist there and back are the same therefore
3s = 2.5(s+2)
3s = 2.5s + 5
3s - 2.5s = 5
.5s = 5
s = 5/.5
s = 10 mph to the beach
:
:
Confirm this by finding the actual distance each way, should be the same
3*10 = 30 mi
2.5(12) = 30 mi