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. Every day, his route takes him 22.5 miles each way 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 it 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? need to see all steps full explanation please. Will give 20 points. urgant

9 miles per hour

Step-by-step explanation:

Let speed of boat be "x"

We know current speed is 6, so

Downstream Speed = x + 6

Upstream Speed = x - 6

We know distance equation to be:

D = RT

We want total trip (upstream and downstream) to be 9 hours, so we can say:

T = D/R

Or,

Distance/Rate Downstream + Distance/Rate Upstream = 9

That is:

We have to solve this equation for "x" to get our

The boat's speed can't be negative, so we disregard "-4" and take x = 9 miles per hour as the answer.

To serve the operator's needs, the boat must go at 9 miles per hour

16

step-by-step explanation: