SOLUTION: Len is planning a 3 hour trip down the Allenem River and back to his starting point. He knows he can paddle in still water at 3 mph and that the rate of the current is 2 mph. How m

Question 262282: Len is planning a 3 hour trip down the Allenem River and back to his starting point. He knows he can paddle in still water at 3 mph and that the rate of the current is 2 mph. How much time can he spend going down stream? How far can he travel?

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Len is planning a 3 hour trip down the Allenem River and back to his starting point.
He knows he can paddle in still water at 3 mph and that the rate of the current is 2 mph.
How much time can he spend going down stream? How far can he travel?
:
Find his speed up and down stream
3-2 = 1 mph upstream
3+2 = 5 mph down stream
:
Let d = distance he travels before he turns around
Write a time equation: time = dist/speed
:
Time upst + time down = 3 hrs
+ = 3
Multiply equation by 5, results:
5d + d = 5(3)
6d = 15
d =
d = 2.5 mi up stream and the same back
:
Find the time downstream
2.5/5 = .5 hrs down stream
:
:
Check solution
2.5/1 + 2.5/5 = 3 hrs
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