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
Algebra ->
Length-and-distance
-> 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
Log On
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