Practice30Create account

A river is 300 m wide and flows at 1.8 km/h. Leela swims at 3 km/h relative to the water and angles herself upstream so that she lands exactly opposite her starting point. How long does the crossing take?

Competition practiceBoats & Streams
  • A7.5 minutes
  • B6 minutes
  • C10 minutes
  • D4.5 minutes

Step-by-Step Solution

Her upstream component must cancel the current (1.8 km/h). Across component = √ √5.76 = 2.4 km/h. Time = 0.3 ÷ 2.4 = 0.125 h = 7.5 minutes.
Answer: A) 7.5 minutes

Master this topic in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Boats & Streams practice questions

More Boats & Streams practice

A ferry is steered straight across a river 0.8 km wide at 4 km/h relative to the water,…A ferry (14 km/h in still water) runs between two ghats 24 km apart on a river flowing…Boat P is twice as fast as boat Q in still water. On a river flowing at 3 km/h, P goes…A boat goes 24 km upstream, halts there for 1 hour, and returns on a river flowing at 2…A boat goes 27 km down the Krishna, which flows at 4 km/h, and then 27 km up the…