Question discussion

The speed of boat in still water is 16 kmph and speed of the current is 2 kmph. It takes a total of 6.5 hours to row upstream from point A…

202960Medium 1 reply 2,298 views

The speed of boat in still water is 16 kmph and speed of the current is 2 kmph. It takes a total of 6.5 hours to row upstream from point A to point B and downstream from point B to point C. If the distance from point A to point B is two third the distance between point B and C, what is the total distance travelled by the boat (both up and down stream)?

A112 km
B98 km
C124 km
D90 km

Answer not set

Join the discussion Report an error

Discussion 1

CCommunity19 Jun 2019

Let the length of BC = x km

Length of AB = 2x / 3 km

Downstream Speed = 16 + 2 = 18 kmph

Upstream Speed = 16 – 2 = 14 kmph

As per the question,

⇒ 2x / 42 + x / 18 = 6.5

⇒ x / 21 + x / 18 = 6.5

⇒ 13x / 126 = 6.5

⇒ x = 63 km

∴ Total distance = 2x / 3 + x = 5x / 3 = 105 km