## Boats and Streams

Table of Contents

Boats and Streams – General Questions Practice different types of aptitude test for free, including numerical and verbal tests. All questions come with worked solutions to help you improve.

## Upstream and Downstream – boats and streams formula

Given below are a few important formulas with the help of which you can solve the questions based on boat and streams.

Candidates must learn these formulas to ensure they are able to answer the simple formula based questions correctly and do not end up losing marks for direct questions.

**Upstream = (u−v) km/hr**, where “u” is the speed of the boat in still water and “v” is the speed of the stream**Downstream = (u+v)Km/hr**, where “u” is the speed of the boat in still water and “v” is the speed of the stream**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 Stii Water}**- If it takes “t” hours for a boat to reach a point in still water and comes back to the same point then, the distance between the two points can be calculated by
**Distance = {(u**^{2}**-v**^{2}**) × t} / 2u**, where “u” is the speed of the boat in still water and “v” is the speed of the stream - and If it takes “t” hours more to go to a point upstream than downstream for the same distance, the formula for distance will be:
**Distance = {(u**^{2}**-v**^{2}**) × t} / 2v**, where “u” is the speed of the boat in still water and “v” is the speed of the stream - If a boat travels a distance downstream in “t1” hours and returns the same distance upstream in “t2” hours, then the speed of the man in still water will be:
**Speed of Man in Still Water = [v × {(t2+t1) / (t2-t1)}] km/hr**, where“v” is the speed of the stream

## Tips, Tricks And Shortcuts for Boats and Streams

Here, are quick and easy tips and tricks for you to solve Boats and Streams questions quickly, easily, and efficiently in competitive exams. The boats and streams problems are based on the concepts of time, speed, and distance. However, a few adjustments need to be made in case of such problems.

### Boats and Streams problems

**Type 1: Tips and Tricks for Finding Speed of Boat**

**Boats and Streams Tips and Trick and Shortcuts**

Speed of the boat in still water = 1/2 (Downstream speed + Upstream speed)

Downstream speed = Speed of boat in still water + Speed of stream

Upstream speed = Speed of boat in still water – Speed of stream

**Type 2: Tips and Tricks to Find the Speed of Stream**

**Tips and Trick and Shortcuts for Boats and Streams**

Speed of stream = 1/2 *(Downstream speed – upstream speed)

and Speed downstream = (u + v ) km/hr.

Speed upstream = (u – v ) km/hr.

**Type 3: Using Man’s Still Water Speed Calculate Stream’s Speed**

Let sailor’s speed in upstream = x

Downstream speed = 2x (As given in the question, his downstream speed is twice of upstream speed)

Man’s speed in still water = 1/2 (Upstream speed + Downstream speed)