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The ratio of speed of A and B in still water is 3 : 2. A and B start from the same point in the river, A goes upstream and B goes downstream. After 3 hours the stream stops flowing and A starts rowing in the opposite direction to meet B. How much time after the stream stops flowing does A meet B?
- a)16 hrs
- b)15 hrs
- c)12 hrs
- d)18 hrs
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The ratio of speed of A and B in still water is 3 : 2. A and B start f...
Given:
The ratio of speed of A and B in still water is 3 : 2.
Approach:
To solve this problem, we need to understand the relative speeds of A and B when they are rowing in opposite directions. Let's assume the speed of A in still water is 3x and the speed of B in still water is 2x.
When A is rowing upstream:
The effective speed of A = (Speed of A in still water) - (Speed of stream)
= 3x - x = 2x
When B is rowing downstream:
The effective speed of B = (Speed of B in still water) + (Speed of stream)
= 2x + x = 3x
After 3 hours, the stream stops flowing. At this point, A starts rowing in the opposite direction to meet B.
When A is rowing downstream:
The effective speed of A = (Speed of A in still water) + (Speed of stream)
= 3x + x = 4x
Now, let's calculate the time it takes for A and B to meet.
Calculation:
Let's assume they meet after t hours.
Distance travelled by A = Speed of A * Time taken = 4x * t
Distance travelled by B = Speed of B * Time taken = 3x * t
Since they start from the same point and meet, the distances travelled by A and B must be equal.
Therefore, 4x * t = 3x * t
Simplifying the equation, we get:
4x * t - 3x * t = 0
x * t = 0
Since x is a non-zero value, t must be 0.
Therefore, A and B meet immediately after the stream stops flowing.
Answer:
The time after the stream stops flowing when A meets B is 0 hours.
Explanation:
Option B is the correct answer because A and B meet immediately after the stream stops flowing.
The ratio of speed of A and B in still water is 3 : 2.
Approach:
To solve this problem, we need to understand the relative speeds of A and B when they are rowing in opposite directions. Let's assume the speed of A in still water is 3x and the speed of B in still water is 2x.
When A is rowing upstream:
The effective speed of A = (Speed of A in still water) - (Speed of stream)
= 3x - x = 2x
When B is rowing downstream:
The effective speed of B = (Speed of B in still water) + (Speed of stream)
= 2x + x = 3x
After 3 hours, the stream stops flowing. At this point, A starts rowing in the opposite direction to meet B.
When A is rowing downstream:
The effective speed of A = (Speed of A in still water) + (Speed of stream)
= 3x + x = 4x
Now, let's calculate the time it takes for A and B to meet.
Calculation:
Let's assume they meet after t hours.
Distance travelled by A = Speed of A * Time taken = 4x * t
Distance travelled by B = Speed of B * Time taken = 3x * t
Since they start from the same point and meet, the distances travelled by A and B must be equal.
Therefore, 4x * t = 3x * t
Simplifying the equation, we get:
4x * t - 3x * t = 0
x * t = 0
Since x is a non-zero value, t must be 0.
Therefore, A and B meet immediately after the stream stops flowing.
Answer:
The time after the stream stops flowing when A meets B is 0 hours.
Explanation:
Option B is the correct answer because A and B meet immediately after the stream stops flowing.
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Community Answer
The ratio of speed of A and B in still water is 3 : 2. A and B start f...
Let the speed of current be = c km/hr
Let the speeds of A and B in still water be 3k km/hr and 2k km/hr
Upstream speed of A = (3k – c) km/hr
Downstream speed of B = (2k + c) km/hr
Distance between A and B after 3 hrs = [3 (3k – c) + 3 (2k + c)] km
= (9k – 3c + 6k + 3c) km
= 15k km
After stream becomes stationary
Relative speed when both go in same direction = (3k – 2k) km/hr = k km/hr
Time after which they meet = 15 k/ k = 15 hrs
Hence, option B is correct.
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The ratio of speed of A and B in still water is 3 : 2. A and B start from the same point in the river, A goes upstream and B goes downstream. After 3 hours the stream stops flowing and A starts rowing in the opposite direction to meet B. How much time after the stream stops flowing does A meet B?a)16 hrsb)15 hrsc)12 hrsd)18 hrse)None of theseCorrect answer is option 'B'. Can you explain this answer? for Banking Exams 2026 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about The ratio of speed of A and B in still water is 3 : 2. A and B start from the same point in the river, A goes upstream and B goes downstream. After 3 hours the stream stops flowing and A starts rowing in the opposite direction to meet B. How much time after the stream stops flowing does A meet B?a)16 hrsb)15 hrsc)12 hrsd)18 hrse)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Banking Exams 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio of speed of A and B in still water is 3 : 2. A and B start from the same point in the river, A goes upstream and B goes downstream. After 3 hours the stream stops flowing and A starts rowing in the opposite direction to meet B. How much time after the stream stops flowing does A meet B?a)16 hrsb)15 hrsc)12 hrsd)18 hrse)None of theseCorrect answer is option 'B'. Can you explain this answer?.
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