Use the three steps to solve the problem. the excursion boat on the river takes 2½ hours to make the trip to a point 12 miles upstream and to return. if the rate at which the boat travels in still water is 5 times the rate of the river current, what is the rate of the current?

Try this option (see the attacthed file; answer is marked with red colour); note, that

2 m/h.

Let x be the speed of current ( miles per hour ),

Thus, as per statement,

The speed of boat in still water = 5x miles per hour,

⇒ The speed in upstream = 5x - x = 4x miles per hour,

And, the speed in downstream = 5x + x = 6x miles per hour,

We know that,

Given distance = 12 miles,

So, the time taken in upstream =

And, the time taken in downstream =

Total time taken = 2½ hours

Hence, the speed of current is 2 miles per hour.

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