Bank Exams Exam > Bank Exams Notes > Tips & Tricks for Government Exams > Tips & Tricks: Boats and Streams
Boats and Streams Tips and Tricks for Government Exams
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| Introduction |
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| Theory |
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| Formula |
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| Solved Examples |
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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
Formula
- 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 StreamsTry 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?
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Question for Tips & Tricks: Boats and StreamsTry 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 StreamsTry 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?
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FAQs on Boats and Streams Tips and Tricks for Government Exams
| 1. What are the basic concepts of boats and streams in mathematics? |  |
Ans. The basic concepts of boats and streams involve understanding the speed of a boat in still water and the speed of the current in a stream. The effective speed of the boat when moving upstream (against the current) is the speed of the boat in still water minus the speed of the stream, while the effective speed when moving downstream (with the current) is the sum of both speeds.
| 2. How can I calculate the distance traveled by a boat when going upstream and downstream? | |
Ans. To calculate the distance traveled by a boat, you can use the formula: Distance = Speed × Time. For upstream travel, use the effective speed (boat speed - stream speed) and for downstream, use (boat speed + stream speed). Multiply the effective speed by the time taken for each journey to find the respective distances.
| 3. What is the difference between upstream and downstream in the context of boats and streams? | |
Ans. Upstream refers to the direction against the flow of the current, meaning the boat is moving in the opposite direction of the stream. Downstream refers to the direction with the flow of the current, where the boat moves in the same direction as the stream. This affects the effective speed of the boat in each case.
| 4. How do I solve problems involving boats and streams in competitive exams? | |
Ans. To solve problems involving boats and streams, first, identify the speeds of the boat and the stream. Write down the equations for upstream and downstream speeds. Use these equations to set up relationships based on the problem conditions, such as time taken and distances, and solve for the unknowns using algebraic methods.
| 5. What are some common mistakes to avoid when solving boats and streams problems? | |
Ans. Common mistakes include confusing upstream and downstream speeds, miscalculating the effective speed, forgetting to convert time units, and not carefully reading the problem statement for given data. It's essential to double-check calculations and ensure all units are consistent throughout the problem.
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