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Boat and Stream Concept, Tricks and Questions

Boat and Stream Concept relies on four core formulas based on relative speed: Still Water Speed, Stream Speed, Downstream Speed, and Upstream Speed. Memorizing the key equations and practicing shortcut ratio methods is the fastest way to solve the 2-3 questions you can expect in the Delhi Police Constable Numerical Ability section.
authorImageAmit kumar Singh25 Nov, 2025
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Boat and Stream Concept, Tricks and Questions

Boat and Stream Concept for Delhi Police Maths 2025 is one of the most important scoring topics in the Numerical Ability section. This chapter, a key part of Time, Speed, and Distance, consistently appears in the Delhi Police Constable exam and can easily fetch you 1–2 marks if your basics are clear. Although the questions may seem tricky at first, they become straightforward once you understand the core formulas and apply smart calculation techniques.

Here , we break down the complete Boat and Stream concept. From fundamental definitions to shortcut tricks and exam-focused questions, it ensures you learn the topic in a structured, updated, and exam-relevant manner. Strengthen your basics, apply the right approach, and you’ll be able to solve Boat and Stream questions in just a few seconds during the 2025 exam.

Boat and Stream Concept: Upstream vs. Downstream 

Boat and Stream questions form the foundation of many Time, Speed, and Distance problems in the Delhi Police Maths 2025 exam. Before solving any question, it is crucial to understand how the direction of the water current affects the effective speed of a boat. Once you master the difference between upstream and downstream movement, most questions become simple applications of basic formulas. To ace Boat and Stream problems for the Delhi Police exam, you must first understand the four key terms:

Key Terminology and Definitions

Speed of Boat/Man in Still Water (SB): This is the actual speed of the boat or swimmer when the water is stationary (not moving).

Speed of Stream/Current (SSt): This is the speed of the flowing water.

Downstream (SD): This happens when the boat moves with the direction of the stream. Think of it as the river giving you a push! The net speed is the sum of the boat’s speed and the stream’s speed.

Upstream (SU): This happens when the boat moves against the direction of the stream. This is tougher! The net speed is the difference between the boat’s speed and the stream’s speed.

Boat and Stream Concept Questions 2025 

Every question in the Delhi Police Maths paper is built around these four fundamental formulas. Candidates can write them and practice questions in order to get a command over these concepts. Here is the list of conditions with formulas and calculations:

Boat and Stream Concept

Condition

Formula

Calculation

Downstream Speed (SD)

SBoat + SStream

SD = SB + SSt

Upstream Speed (SU)

SBoat - SStream

SU = SB - SSt

Speed in Still Water (SB)

(Downstream Speed + Upstream Speed) / 2

SB = (SD + SU) / 2

Speed of Stream (SSt)

(Downstream Speed - Upstream Speed) / 2

SSt = (SD - SU) / 2

 

Why do these Formulas Matter for Delhi Police Constable Aspirants?

These tricks allow you to convert two given speeds (SD and SU) into the two unknown core values (SB and SSt) instantly. Always remember, the boat’s speed (SB) is always higher than the stream’s speed (SSt) in real-world problems.

Pro Tips and Shortcut Tricks for High Speed Calculation 

Success in the Delhi Police CBT exam hinges on solving Numerical Ability questions quickly. Here are some tricks to shave off crucial seconds when tackling Boat and Stream questions:

Quick Calculation: The D = S x T Foundation

Don't forget the original time, speed, and distance rule: 

Time = Distance / Speed or Distance = Speed × Time

You will often encounter a question where the distance is the same for both upstream and downstream travel.

Distance Downstream = Distance Upstream

SD × TD = SU × TU

Using this equation to set up a ratio can be the fastest solution for many problems.

Shortcut for Round Trips: Time Ratio Trick 

If a boat travels a distance and returns to the starting point (round trip), and you are given the time taken (TTotal), use this:

Distance = (TTotal × (SB² - SSt²)) / (2 × SB)

Practice Question: Putting the Concept into Action

Let’s solve a common Boat and Stream question type that is frequently seen in SSC exams:

Question: A boat can travel 14 km/hr in still water. If the speed of the stream is 4 km/hr, what is the time taken by the boat to go 68 km downstream?

Solution:

  1. Identify Given Values:

    1. Speed of Boat in Still Water (SB) = 14 km/hr

    2. Speed of Stream (SSt) = 4 km/hr

    3. Distance (D) = 68 km

  2. Calculate Downstream Speed (SD):

    1. SD = SB + SSt

    2. SD = 14 + 4 = 18 km/hr

  3. Calculate Time Taken (T):

    1. T = D / SD

    2. T = 68 / 18

  4. Final Answer:

    1. T = 3.77 hours or 3 hours 46 minutes (approx)

 

Your Next Steps to Ace Delhi Police Maths 2025

The Boat and Stream concept is an absolute scoring asset in the Numerical Ability paper for the Delhi Police Constable 2025 exam. You've got the formulas, the terms, and the key strategy. The next step is continuous practice.

Don’t just read; solve problems! Apply the shortcuts discussed above to the previous year’s questions and mock tests. Start practicing today to ensure nothing stops you from navigating your way to success!

To fully grasp the core concepts of Boat and Stream and see these formulas applied in real-time, we highly recommend watching the complete video session. This class covers detailed problem-solving techniques and explains the logic behind every shortcut.

Watching the video will help you visualize the direction of the stream and the boat, which is often the trickiest part of this topic.

 

Download Delhi Police Boat and Stream PDF

This PDF contains numerous exam-level problems focusing on different variables, such as finding the distance in a round trip, calculating the time taken, and determining the relative speeds. Download the PDF now, apply the tricks you learned in this guide, and check your accuracy.

Boat and Stream Concept FAQ

Is the Boat and Stream topic difficult for the Delhi Police exam?

Boat and Stream is a moderately challenging topic under Quantitative Aptitude. It requires a clear understanding of the difference between Upstream Speed (SB - SSt) and Downstream Speed (SB + SSt). With consistent practice and memorizing the shortcut formulas, it becomes a high-scoring section.

Where is Boat and Stream included in the Delhi Police Constable Syllabus 2025?

This chapter is a core part of the Numerical Ability section, specifically falling under the broad topic of Time, Speed, & Distance. You can expect approximately 1-2 questions directly from the Boat and Stream concept in the paper.

What is the formula to find the speed of the stream?

The formula to find the speed of the stream is: Speed of Stream (SSt) = (Downstream Speed (SD) - Upstream Speed (SU)) / 2.

What is still water in Boat and Stream problems?

Still water refers to water that is stationary or non-moving, meaning the speed of the current is zero. The speed given for a boat in still water is its actual, inherent speed without the aid or opposition of a current.
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