The speed of the current in a river is 6mph. A ferry operator who works that part of the river is looking to buy a new boat for
her business. Every day, her route takes her 22.5 miles each way against the current and back to her dock, and she needs to make the trip in a total of 9 hours. She has a boat in mind, but she can only test it on a lake where there is no current at all. How fast must the boat go on the lake in order for it to serve the ferry operator's needs?
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Answer:
Step-by-step explanation:
<u>Solving Equations</u>
We have the expression:
And it's required to make y the subject.
It can be done by isolating y on the left side of the equation and the rest of the expression on the right side.
The first step is removing the denominator by multiplying both sides by y-3:
Simplifying the right side:
Remove the parentheses:
Move the y's to the left side and the rest of the expression to the right side:
Factor out y:
Divide by x-1: