Problema Solution

A paddle boat can move at a speed of 20km/h in still water. The boat is paddled 14km downstream in a river in the same times it takes to go 7km upstream. What is the speed of the river?

answer in fraction

Answer provided by our tutors

Boat speed = 20 km/h

current speed = x km/h

speed against current 20 - x

speed with current 20 + x

Distance against current 7 km

Distance with current 14 km



t=d/r time against = time with current

7/(20-x )=14/(20+x)

7(20+x)=14(20-x)

140+7x =280-14 x

14x+7x=280-140

21x=140

/21

x = 6.67 km/h current speed