the excursion boat on the river takes 2 1/2 hours to make the trip to a point 12 miles upstream & 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?

Total distance traveled by the boat = 12 * 2

= 24 miles. (upstream and back)

So, the boat travels 24 miles in 2 1/2 hours ? miles in 1 hour

The rate at which the boat travels

= 24 * 1 / 2.5 = 9.6 miles/hour

Assume the rate of current = x,

then the rate of travel in still water = 5x

Therefore, 5x = 9.6

x = 9.6/5 = 1.92 miles/hour

This means that current moves 1.92 miles per hour

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