Amotorboat travels 92 km in 2 hours going upstream. it travels 132 km going downstream in the same amount of time. what is the rate of the boat in still water and what is the rate of the current?

The speed on boat in still water is    and the rate of the current is  

Explanation:

Since speed ,

Therefore speed of motor boat while traveling upstream is

and  speed of motor boat while traveling downstream is

Let speed of boat in still water be and rate of current be

Therefore   ----(A)

and       ------(B)

Adding equation (A) and (B)  we get

=>   ------(C)

Substituting the value of   in equation (A) we get

Thus the speed on boat in still water is    and the rate of the current is  

+15-35=-20

going in opposite directions