A boat can travel 20 km/hr in still water. It can travel 47 km downstream in the same time it travels 33 km upstream. What is the speed of the current?

Answer 1

b = 20km/hr

47km downstream, 33 km upstream in the same time

t=d/r

47/(20+c) = 33/(20-c)

47(20-c) = 33(20+c)

940 -47c = 660 + 33c

80c = 280

c = 28/8 = 3.5 km/hr = current speed

time = 33/(16.5) = 2 hours

=47/(23.5) = 2 hours