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The speed of a boat in still water is 6 kmph. If the speed of the stream is 2 kmph and it takes 2 hours to row to a place and come back. Find the total distance travelled?
- a)32/3 km
- b)20 km
- c)15 km
- d)28/3 km
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
The speed of a boat in still water is 6 kmph. If the speed of the stre...
GIVEN:
Speed of boat in still water = 6 kmph
Speed of stream = 2 kmph
Speed of boat in still water = 6 kmph
Speed of stream = 2 kmph
Time taken by boat to row to a place and come back = 2 hours
FORMULA USED:
Upstream speed = Speed of boat - Speed of stream
Downstream speed = Speed of boat + Speed of stream
Upstream speed = Speed of boat - Speed of stream
Downstream speed = Speed of boat + Speed of stream
CALCULATION:
Upstream speed = 6 - 2 = 4 kmph
Downstream speed = 6 + 2 = 8 kmph
Let the distance travelled is x
∴ Total distance travelled
Upstream speed = 6 - 2 = 4 kmph
Downstream speed = 6 + 2 = 8 kmph
Let the distance travelled is x
∴ Total distance travelled
Most Upvoted Answer
The speed of a boat in still water is 6 kmph. If the speed of the stre...
**Given:**
- Speed of the boat in still water = 6 kmph
- Speed of the stream = 2 kmph
- Time taken to row to a place and come back = 2 hours
**To find:**
- Total distance travelled
**Concept:**
- Speed of the boat downstream = (Speed of the boat in still water) + (Speed of the stream)
- Speed of the boat upstream = (Speed of the boat in still water) - (Speed of the stream)
- Time = Distance/Speed
**Calculation:**
Let's assume the total distance travelled is D km.
**Heading: Downstream Journey**
- Speed of the boat downstream = (Speed of the boat in still water) + (Speed of the stream) = 6 + 2 = 8 kmph
- Time taken to row downstream = D/8 hours
**Heading: Upstream Journey**
- Speed of the boat upstream = (Speed of the boat in still water) - (Speed of the stream) = 6 - 2 = 4 kmph
- Time taken to row upstream = D/4 hours
**Heading: Total Time Taken**
- Total time taken to row to a place and come back = Time taken to row downstream + Time taken to row upstream = D/8 + D/4 = 2 hours
**Heading: Solving the Equation**
- D/8 + D/4 = 2
- Multiplying the equation by 8 to eliminate the denominators: 2D + 4D = 16
- Combining like terms: 6D = 16
- Dividing both sides by 6: D = 16/6 = 8/3 km
Therefore, the total distance travelled is 8/3 km, which is equivalent to 32/3 km.
Hence, the correct answer is option A) 32/3 km.
- Speed of the boat in still water = 6 kmph
- Speed of the stream = 2 kmph
- Time taken to row to a place and come back = 2 hours
**To find:**
- Total distance travelled
**Concept:**
- Speed of the boat downstream = (Speed of the boat in still water) + (Speed of the stream)
- Speed of the boat upstream = (Speed of the boat in still water) - (Speed of the stream)
- Time = Distance/Speed
**Calculation:**
Let's assume the total distance travelled is D km.
**Heading: Downstream Journey**
- Speed of the boat downstream = (Speed of the boat in still water) + (Speed of the stream) = 6 + 2 = 8 kmph
- Time taken to row downstream = D/8 hours
**Heading: Upstream Journey**
- Speed of the boat upstream = (Speed of the boat in still water) - (Speed of the stream) = 6 - 2 = 4 kmph
- Time taken to row upstream = D/4 hours
**Heading: Total Time Taken**
- Total time taken to row to a place and come back = Time taken to row downstream + Time taken to row upstream = D/8 + D/4 = 2 hours
**Heading: Solving the Equation**
- D/8 + D/4 = 2
- Multiplying the equation by 8 to eliminate the denominators: 2D + 4D = 16
- Combining like terms: 6D = 16
- Dividing both sides by 6: D = 16/6 = 8/3 km
Therefore, the total distance travelled is 8/3 km, which is equivalent to 32/3 km.
Hence, the correct answer is option A) 32/3 km.
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Community Answer
The speed of a boat in still water is 6 kmph. If the speed of the stre...
GIVEN:
Speed of boat in still water = 6 kmph
Speed of stream = 2 kmph
Speed of boat in still water = 6 kmph
Speed of stream = 2 kmph
Time taken by boat to row to a place and come back = 2 hours
FORMULA USED:
Upstream speed = Speed of boat - Speed of stream
Downstream speed = Speed of boat + Speed of stream
Upstream speed = Speed of boat - Speed of stream
Downstream speed = Speed of boat + Speed of stream
CALCULATION:
Upstream speed = 6 - 2 = 4 kmph
Downstream speed = 6 + 2 = 8 kmph
Let the distance travelled is x
∴ Total distance travelled
Upstream speed = 6 - 2 = 4 kmph
Downstream speed = 6 + 2 = 8 kmph
Let the distance travelled is x
∴ Total distance travelled
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The speed of a boat in still water is 6 kmph. If the speed of the stream is 2 kmph and it takes 2 hours to row to a place and come back. Find the total distance travelled?a)32/3 kmb)20 kmc)15 kmd)28/3 kmCorrect answer is option 'A'. Can you explain this answer?
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The speed of a boat in still water is 6 kmph. If the speed of the stream is 2 kmph and it takes 2 hours to row to a place and come back. Find the total distance travelled?a)32/3 kmb)20 kmc)15 kmd)28/3 kmCorrect answer is option 'A'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about The speed of a boat in still water is 6 kmph. If the speed of the stream is 2 kmph and it takes 2 hours to row to a place and come back. Find the total distance travelled?a)32/3 kmb)20 kmc)15 kmd)28/3 kmCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The speed of a boat in still water is 6 kmph. If the speed of the stream is 2 kmph and it takes 2 hours to row to a place and come back. Find the total distance travelled?a)32/3 kmb)20 kmc)15 kmd)28/3 kmCorrect answer is option 'A'. Can you explain this answer?.
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