Q:

Going against the current, a boat takes 6 hours to make a 120-mile trip. When the boat travels with the current on the return trip, it takes 5 hours. If x = the rate of the boat in still water and y = the rate of the current, which of the following expressions represents the rate of the boat going with the current?

Accepted Solution

A:
Answer:(x+y)24 miles per hour.Step-by-step explanation:If the boat has a speed of x in still water and the current has a speed of y, then (x+y) will represent the speed of the boat while going with the current. It is given that the boat takes 5 hours to travels 120 miles trip with the current on the return trip. Therefore, the speed of the boat while going with the current will be ([tex]\frac{120}{5}[/tex]) =24 miles per hour. And, 24 miles per hour will be equal to (x+y). (Answer)