# algebra

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please explain the step for this I have no idea.
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 for his business everyday his route takes him 22.5 miles against the current and back to his deck and he needs this trip in a total of 9 hours he has a boat in mind but he can only test it on a lake where there in no current how fast must the boat go on the lake in order for it to serve the ferry operators needs.

This is what I got;
22.5/(x+6)+22.5/(x-6)=9
x=9mph

• algebra -

Looks good to me.

22.5mi at 3mph = 7.5 hrs
22.5mi @ 15mph = 1.5 hrs
total: 9 hrs

• algebra -

Thanks for checking my work

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