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A boatman rows some distance upstream and some distance downstream. If the time taken by the man to row upstream is twice the time taken by him to row downstream. Find the ratio of distance travelled by the man upstream to that of downstream, if the speed of boat in still water is 7 km/hr and the speed of stream is 2 km/hr?
- a)12 : 13
- b)10 : 9
- c)4 : 5
- d)9 : 7
- e)15 : 8
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A boatman rows some distance upstream and some distance downstream. If...
Given∶
The speed of boat in still water is 7 km/hr.
The speed of stream is 2 km/hr.
The time taken by the man to row upstream is twice the time taken by him to row downstream.
Let u and v be the speed of boat in still water and speed of stream respectively.
Speed upstream = (u - v)
Speed downstream = (u + v)
Let the distance travelled upstream = x km
And the distance travelled downstream = y km
Speed upstream = (u - v) = 7 - 2 = 5 km/hr
Speed downstream = (u + v) = 7 + 2 = 9 km/hr
Time taken by the man to row upstream is = x/5
Time taken by the man to row downstream is = y/9
The time taken by the man to row upstream is twice the time taken by him to row downstream∶
⇒ x ∶ y = 10 ∶ 9
So, the ratio of distance travelled by the man upstream to that of downstream is 10 ∶ 9.
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A boatman rows some distance upstream and some distance downstream. If...
Let's assume that the distance traveled by the boatman downstream is D km.
Since the speed of the stream is 2 km/hr and the speed of the boat in still water is 7 km/hr, the effective speed of the boat downstream is the sum of the speeds, which is 7 + 2 = 9 km/hr.
Therefore, the time taken by the boatman to row downstream is D/9 hours.
Now, let's consider the distance traveled by the boatman upstream.
Since the speed of the stream is 2 km/hr and the speed of the boat in still water is 7 km/hr, the effective speed of the boat upstream is the difference of speeds, which is 7 - 2 = 5 km/hr.
Given that the time taken by the boatman to row upstream is twice the time taken to row downstream, the time taken to row upstream is 2 * (D/9) = 2D/9 hours.
Ratio of distance traveled upstream to downstream:
Distance traveled upstream: 2D/9 * 5 = 10D/9 km
Distance traveled downstream: D km
Therefore, the ratio of distance traveled upstream to downstream is 10D/9 : D, which simplifies to 10 : 9.
Hence, the correct answer is option B) 10 : 9.
Since the speed of the stream is 2 km/hr and the speed of the boat in still water is 7 km/hr, the effective speed of the boat downstream is the sum of the speeds, which is 7 + 2 = 9 km/hr.
Therefore, the time taken by the boatman to row downstream is D/9 hours.
Now, let's consider the distance traveled by the boatman upstream.
Since the speed of the stream is 2 km/hr and the speed of the boat in still water is 7 km/hr, the effective speed of the boat upstream is the difference of speeds, which is 7 - 2 = 5 km/hr.
Given that the time taken by the boatman to row upstream is twice the time taken to row downstream, the time taken to row upstream is 2 * (D/9) = 2D/9 hours.
Ratio of distance traveled upstream to downstream:
Distance traveled upstream: 2D/9 * 5 = 10D/9 km
Distance traveled downstream: D km
Therefore, the ratio of distance traveled upstream to downstream is 10D/9 : D, which simplifies to 10 : 9.
Hence, the correct answer is option B) 10 : 9.
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A boatman rows some distance upstream and some distance downstream. If the time taken by the man to row upstream is twice the time taken by him to row downstream. Find the ratio of distance travelled by the man upstream to that of downstream, if the speed of boat in still water is 7 km/hr and the speed of stream is 2 km/hr?a)12 : 13b)10 : 9c)4 : 5d)9 : 7e)15 : 8Correct answer is option 'B'. Can you explain this answer?
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A boatman rows some distance upstream and some distance downstream. If the time taken by the man to row upstream is twice the time taken by him to row downstream. Find the ratio of distance travelled by the man upstream to that of downstream, if the speed of boat in still water is 7 km/hr and the speed of stream is 2 km/hr?a)12 : 13b)10 : 9c)4 : 5d)9 : 7e)15 : 8Correct answer is option 'B'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about A boatman rows some distance upstream and some distance downstream. If the time taken by the man to row upstream is twice the time taken by him to row downstream. Find the ratio of distance travelled by the man upstream to that of downstream, if the speed of boat in still water is 7 km/hr and the speed of stream is 2 km/hr?a)12 : 13b)10 : 9c)4 : 5d)9 : 7e)15 : 8Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A boatman rows some distance upstream and some distance downstream. If the time taken by the man to row upstream is twice the time taken by him to row downstream. Find the ratio of distance travelled by the man upstream to that of downstream, if the speed of boat in still water is 7 km/hr and the speed of stream is 2 km/hr?a)12 : 13b)10 : 9c)4 : 5d)9 : 7e)15 : 8Correct answer is option 'B'. Can you explain this answer?.
A boatman rows some distance upstream and some distance downstream. If the time taken by the man to row upstream is twice the time taken by him to row downstream. Find the ratio of distance travelled by the man upstream to that of downstream, if the speed of boat in still water is 7 km/hr and the speed of stream is 2 km/hr?a)12 : 13b)10 : 9c)4 : 5d)9 : 7e)15 : 8Correct answer is option 'B'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about A boatman rows some distance upstream and some distance downstream. If the time taken by the man to row upstream is twice the time taken by him to row downstream. Find the ratio of distance travelled by the man upstream to that of downstream, if the speed of boat in still water is 7 km/hr and the speed of stream is 2 km/hr?a)12 : 13b)10 : 9c)4 : 5d)9 : 7e)15 : 8Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A boatman rows some distance upstream and some distance downstream. If the time taken by the man to row upstream is twice the time taken by him to row downstream. Find the ratio of distance travelled by the man upstream to that of downstream, if the speed of boat in still water is 7 km/hr and the speed of stream is 2 km/hr?a)12 : 13b)10 : 9c)4 : 5d)9 : 7e)15 : 8Correct answer is option 'B'. Can you explain this answer?.
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