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A man can row three-quarters of a kilometer against the stream in 11 1/4 minutes and down the stream in 7 1/2 minutes. The speed (in kmph) of the man in still water is:
- a)4 kmph
- b)5 kmph
- c)6 kmph
- d)8 kmph
Correct answer is option 'B'. Can you explain this answer?
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A man can row three-quarters of a kilometer against the stream in 11 1...
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A man can row three-quarters of a kilometer against the stream in 11 1...
Given information:
- The man can row three-quarters of a kilometer against the stream in 11 1/4 minutes.
- The man can row three-quarters of a kilometer down the stream in 7 1/2 minutes.
Let's assume the speed of the stream is x kmph and the speed of the man in still water is y kmph.
Calculating the speed of the man against the stream:
- Speed of the man against the stream = y - x kmph
- Distance covered in 11 1/4 minutes = 3/4 km
- Time taken = 11 1/4 minutes = 45/4 minutes
- Speed = Distance / Time
- (y - x) = (3/4) / (45/4)
- (y - x) = 3/45
- (y - x) = 1/15 ----(1)
Calculating the speed of the man down the stream:
- Speed of the man down the stream = y + x kmph
- Distance covered in 7 1/2 minutes = 3/4 km
- Time taken = 7 1/2 minutes = 15/2 minutes
- Speed = Distance / Time
- (y + x) = (3/4) / (15/2)
- (y + x) = 3/30
- (y + x) = 1/10 ----(2)
Adding equations (1) and (2):
- (y - x) + (y + x) = 1/15 + 1/10
- 2y = 1/15 + 1/10
- 2y = 2/30 + 3/30
- 2y = 5/30
- 2y = 1/6
- y = 1/12
Therefore, the speed of the man in still water is 1/12 kmph.
Converting to kmph:
- 1/12 kmph = (1/12) * (60/1) = 5 kmph.
Hence, the correct answer is option B) 5 kmph.
- The man can row three-quarters of a kilometer against the stream in 11 1/4 minutes.
- The man can row three-quarters of a kilometer down the stream in 7 1/2 minutes.
Let's assume the speed of the stream is x kmph and the speed of the man in still water is y kmph.
Calculating the speed of the man against the stream:
- Speed of the man against the stream = y - x kmph
- Distance covered in 11 1/4 minutes = 3/4 km
- Time taken = 11 1/4 minutes = 45/4 minutes
- Speed = Distance / Time
- (y - x) = (3/4) / (45/4)
- (y - x) = 3/45
- (y - x) = 1/15 ----(1)
Calculating the speed of the man down the stream:
- Speed of the man down the stream = y + x kmph
- Distance covered in 7 1/2 minutes = 3/4 km
- Time taken = 7 1/2 minutes = 15/2 minutes
- Speed = Distance / Time
- (y + x) = (3/4) / (15/2)
- (y + x) = 3/30
- (y + x) = 1/10 ----(2)
Adding equations (1) and (2):
- (y - x) + (y + x) = 1/15 + 1/10
- 2y = 1/15 + 1/10
- 2y = 2/30 + 3/30
- 2y = 5/30
- 2y = 1/6
- y = 1/12
Therefore, the speed of the man in still water is 1/12 kmph.
Converting to kmph:
- 1/12 kmph = (1/12) * (60/1) = 5 kmph.
Hence, the correct answer is option B) 5 kmph.
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Question Description
A man can row three-quarters of a kilometer against the stream in 11 1/4 minutes and down the stream in 7 1/2 minutes. The speed (in kmph) of the man in still water is:a)4 kmphb)5 kmphc)6 kmphd)8 kmphCorrect answer is option 'B'. Can you explain this answer? for LR 2026 is part of LR preparation. The Question and answers have been prepared according to the LR exam syllabus. Information about A man can row three-quarters of a kilometer against the stream in 11 1/4 minutes and down the stream in 7 1/2 minutes. The speed (in kmph) of the man in still water is:a)4 kmphb)5 kmphc)6 kmphd)8 kmphCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for LR 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man can row three-quarters of a kilometer against the stream in 11 1/4 minutes and down the stream in 7 1/2 minutes. The speed (in kmph) of the man in still water is:a)4 kmphb)5 kmphc)6 kmphd)8 kmphCorrect answer is option 'B'. Can you explain this answer?.
A man can row three-quarters of a kilometer against the stream in 11 1/4 minutes and down the stream in 7 1/2 minutes. The speed (in kmph) of the man in still water is:a)4 kmphb)5 kmphc)6 kmphd)8 kmphCorrect answer is option 'B'. Can you explain this answer? for LR 2026 is part of LR preparation. The Question and answers have been prepared according to the LR exam syllabus. Information about A man can row three-quarters of a kilometer against the stream in 11 1/4 minutes and down the stream in 7 1/2 minutes. The speed (in kmph) of the man in still water is:a)4 kmphb)5 kmphc)6 kmphd)8 kmphCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for LR 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man can row three-quarters of a kilometer against the stream in 11 1/4 minutes and down the stream in 7 1/2 minutes. The speed (in kmph) of the man in still water is:a)4 kmphb)5 kmphc)6 kmphd)8 kmphCorrect answer is option 'B'. Can you explain this answer?.
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