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The speed of a boat in still water is 38 km/hr. It covers a distance of 56 km upstream in 2 hours. What is the speed (in km/hr) of the stream?
- a)15
- b)8
- c)11
- d)10
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
The speed of a boat in still water is 38 km/hr. It covers a distance o...
Let, speed of stream = x km/hr
Speed of boat = 38 km/hr
∴ Upstream speed = (38 - x) km/hr
According to problem,
⇒ 2(38 - x) = 56
⇒ 38 - x = 28
⇒ x = 10
∴ Speed of the stream = 10 km/h
Most Upvoted Answer
The speed of a boat in still water is 38 km/hr. It covers a distance o...
Let's break down the problem step by step:
1. Given information:
- Speed of the boat in still water: 38 km/hr
- Distance covered upstream: 56 km
- Time taken to cover the distance upstream: 2 hours
2. Understanding the concept:
- When a boat is traveling upstream, it moves against the current of the stream. This decreases the effective speed of the boat.
- The speed of the stream is the difference between the speed of the boat in still water and its effective speed while traveling upstream.
3. Calculating the effective speed of the boat upstream:
- The formula to calculate the effective speed of the boat while traveling upstream is:
Effective Speed = Speed of the Boat in Still Water - Speed of the Stream
- We can use this formula to find the speed of the stream.
4. Calculating the speed of the stream:
- Given:
Speed of the Boat in Still Water = 38 km/hr
Distance covered upstream = 56 km
Time taken to cover the distance upstream = 2 hours
- We can use the formula: Speed = Distance/Time to find the effective speed of the boat upstream.
- The effective speed of the boat upstream is:
Effective Speed = 56 km / 2 hours = 28 km/hr
- Now, we can use the formula for effective speed to find the speed of the stream:
Speed of the Stream = Speed of the Boat in Still Water - Effective Speed
Speed of the Stream = 38 km/hr - 28 km/hr = 10 km/hr
5. Answer:
- Therefore, the speed of the stream is 10 km/hr, which corresponds to option D).
1. Given information:
- Speed of the boat in still water: 38 km/hr
- Distance covered upstream: 56 km
- Time taken to cover the distance upstream: 2 hours
2. Understanding the concept:
- When a boat is traveling upstream, it moves against the current of the stream. This decreases the effective speed of the boat.
- The speed of the stream is the difference between the speed of the boat in still water and its effective speed while traveling upstream.
3. Calculating the effective speed of the boat upstream:
- The formula to calculate the effective speed of the boat while traveling upstream is:
Effective Speed = Speed of the Boat in Still Water - Speed of the Stream
- We can use this formula to find the speed of the stream.
4. Calculating the speed of the stream:
- Given:
Speed of the Boat in Still Water = 38 km/hr
Distance covered upstream = 56 km
Time taken to cover the distance upstream = 2 hours
- We can use the formula: Speed = Distance/Time to find the effective speed of the boat upstream.
- The effective speed of the boat upstream is:
Effective Speed = 56 km / 2 hours = 28 km/hr
- Now, we can use the formula for effective speed to find the speed of the stream:
Speed of the Stream = Speed of the Boat in Still Water - Effective Speed
Speed of the Stream = 38 km/hr - 28 km/hr = 10 km/hr
5. Answer:
- Therefore, the speed of the stream is 10 km/hr, which corresponds to option D).
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The speed of a boat in still water is 38 km/hr. It covers a distance of 56 km upstream in 2 hours. What is the speed (in km/hr) of the stream?a)15b)8c)11d)10Correct answer is option 'D'. Can you explain this answer?
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The speed of a boat in still water is 38 km/hr. It covers a distance of 56 km upstream in 2 hours. What is the speed (in km/hr) of the stream?a)15b)8c)11d)10Correct answer is option 'D'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about The speed of a boat in still water is 38 km/hr. It covers a distance of 56 km upstream in 2 hours. What is the speed (in km/hr) of the stream?a)15b)8c)11d)10Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The speed of a boat in still water is 38 km/hr. It covers a distance of 56 km upstream in 2 hours. What is the speed (in km/hr) of the stream?a)15b)8c)11d)10Correct answer is option 'D'. Can you explain this answer?.
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