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Boats and Streams Tips and Tricks for Government Exams

Introduction

  • Downstream: If the boat is moving in the direction of the stream.
  • Upstream: If the boat is moving in the direction opposite to the direction of the stream.

Assume the speed of the boat in still water as: ‘b’ kilometres per hour (kmph).
Take the speed of the stream as:  ‘s’ kmph.
Hence Aggregate Downstream Speed = b + s kmph. (Boat is moving with the steam of water).
Upstream Net Speed = b - s km/hr. (Boat is moving against the direction of the stream).

Theory

  • Stream – The moving water in a river is called a stream. 
  • Upstream – If the boat is flowing in the opposite direction to the stream, it is called upstream. In this case, the net speed of the boat is called the upstream speed
  • Downstream – If the boat is flowing along the direction of the stream, it is called downstream. In this case, the net speed of the boat is called downstream speed
  • Still Water – Under this circumstance the water is considered to be stationary and the speed of the water is zero

Boats and Streams Tips and Tricks for Government Exams

Formula's

  • Upstream: (u−v) km/hr
  • Downstream: (u+v)Km/hr
  • Speed of Boat in Still Water: ½ (Downstream Speed + Upstream Speed)
  • Speed of Stream: ½ (Downstream Speed – Upstream Speed)
  • Average Speed of Boat: {(Upstream Speed × Downstream Speed) / Boat’s Speed in Still Water}
  • Speed of boat or swimmer in still water: 1/2 (Downstream Speed + Upstream Speed)

Solved Examples


Question for Tips & Tricks: Boats and Streams
Try yourself:A Boat going upstream takes 8 hours 24 minutes to cover a certain distance, while it takes 5 hours to cover 5/7 of the same distance running downstream.Then what is the ratio of the speed of boat to speed of water current?
View Solution

Question for Tips & Tricks: Boats and Streams
Try yourself:A Boat takes total 16 hours for traveling downstream from point A to point B and coming back point C which is somewhere between A and B. If the speed of the Boat in Still water is 9 Km/hr and rate of stream is 6 Km/hr, then what is the distance between A and C?
View Solution

Question for Tips & Tricks: Boats and Streams
Try yourself:A Boat takes 128 min less to travel to 48 Km downstream than to travel the same distance upstream. If the speed of the stream is 3 Km/hr. Then Speed of Boat in still water is?
View Solution

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