SOLUTION: A ferry moves up and down a river between Town A and B. It takes the ferry two hours to reach Town A and only an hour and thirty minutes to return to Town B. If the river current i

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Question 921283: A ferry moves up and down a river between Town A and B. It takes the ferry two hours to reach Town A and only an hour and thirty minutes to return to Town B. If the river current is 5 mph how far apart are the two cities?
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = the speed of the ferry in still water
Let = the distance between the towns
(1) = speed going from B to A
(2) = speed going from A to B
---------------------
(1)
and
(2)
----------------------
By substitution:



and
(1)
(1)
(1)
(1)
The towns are 60 mi apart
----------
check:
(2)
(2)
(2)
(2)
OK

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