A boat travels upstream for 12 miles in 3 hours and returns in 2 hours traveling downstream in a river. What is the rate of the boat in still water and the rate of the current?

Rate of boat in still water = 5mile/hour

Rate of the current = 1 mile/hr

Explanation:

The boat is moving upstream at the rate = 12miles/3hours = 4mph

The boat is moving downstream at the rate = 12miles/2hours = 6mph

Let y be the speed of boat

And C the current of water

Y + C = 6 ... eq1

Y - C = 4 ... eq2

Adding eq1 and eq2

2Y = 10

Y = 10/2 = 5

Y = 5mph

Put Y = 5 in eq2

5 + C = 6

C = 6 - 5

C = 1 mph