SOLUTION: Len is planning a three hour trip down a river and back to his starting point. He knows he can paddle in still water at 3 miles per hour and that the rate of the current is 2 miles

Question 885920: Len is planning a three hour trip down a river and back to his starting point. He knows he can paddle in still water at 3 miles per hour and that the rate of the current is 2 miles per hour. How much time can he spend going downstream? How far downstream can he travel?

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the one-way distance traveled
Let = time in hrs to travel downstream
Let = time in hrs to travel upstream
Going downstream, Len can travel at a rate of:
mi/hr
Going upstream, Len can travel at a rate of:
mi/hr
------------------------
Going downstream:
(1)
Going upstream:
(2)
Also given:
(3)
--------------------
From (1) and (2):
(2)
and
(3)
(3)
(3) hr
and
(3)
(3) hrs
---------------------
He can spend 1/2 hr going downstream
and
(1)
(1)
(1) mi
He can travel 2.5 mi downstream
--------------------------------
check:
(2)
(2)
(2) mi
OK

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