**A motorboat takes 5 hours to travel 100mi going upstream. The return trip takes 2**

**hours going downstream. What is the rate of the boat in still water and what is the rate of the current? Rate of the boat in still water: __ mi/h Rate of the current: __ mi/h**

**Answer:**

let , boat speed in still water = v mi/h

and current speed = r mi/h

so,100 = 5(v-r)

v-r =20…(i)

100 = 2(v+r)

v+r =50…(ii)

now, adding (i) and (ii)

boat speed in still water (v) = 35 mi/h

current speed ® = 15 mi/h