SOLUTION: the speed of the current in a river is 6 mph. A ferry operator who works that part of the river is looking to buy a new boat. Every day, his route takes him 22.5 miles against th
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Question 704411: the speed of the current in a river is 6 mph. A ferry operator who works that part of the river is looking to buy a new boat. Every day, his route takes him 22.5 miles against the current and back to his dock, and he needs to make this trip in a total of 9 hours. he has a boat in mind, but he can only test in on a lake where there is no current. How fast must the boat go on the lake in order for it to serve the ferry operator's needs? No idea where to start. thanks
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
This is kind of a trick question, but really, it's supposed
to make you think. When you travel 22.5 miles against
the current, and then back the current opposes you one way
and assists you the other way, so the effects cancel.
So, the operators time on a lake with no current is the same
as the time going up and down the river.
---------------
Let = the speed of the boat on the lake
He needs to go 5 mi/hr on the lake for the
boat to work on the river also
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