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A boat travels upstream from B to A and downstream from A to B in 3 hrs. If the speed of the boat in still water is 9 km/hr and the speed of the current is 3 km/hr, the distance between A and B is 
  • a)
    8 km
  • b)
    16 km
  • c)
    12 km
  • d)
    cannot be determined 
  • e)
    None of these
Correct answer is option 'C'. Can you explain this answer?
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A boat travels upstream from B to A and downstream from A to B in 3 hr...
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A boat travels upstream from B to A and downstream from A to B in 3 hr...
Approach:
To solve this problem, we can use the formula Distance = Speed × Time. We will calculate the time taken for each leg of the journey and then use the given information to find the distance between points A and B.

Calculations:

Upstream Journey (B to A):
- Speed of boat in still water = 9 km/hr
- Speed of current = 3 km/hr
- Speed upstream = 9 km/hr - 3 km/hr = 6 km/hr
- Time taken for upstream journey = Distance / Speed = x / 6

Downstream Journey (A to B):
- Speed downstream = 9 km/hr + 3 km/hr = 12 km/hr
- Time taken for downstream journey = Distance / Speed = x / 12
Given that the total time taken for the round trip is 3 hours:
x / 6 + x / 12 = 3
Solving this equation, we get:
2x + x = 36
3x = 36
x = 12 km
Therefore, the distance between points A and B is 12 km. Hence, the correct answer is option C) 12 km.
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A boat travels upstream from B to A and downstream from A to B in 3 hrs. If the speed of the boat in still water is 9 km/hr and the speed of the current is 3 km/hr, the distance between A and B isa)8 kmb)16 kmc)12 kmd)cannot be determinede)None of theseCorrect answer is option 'C'. Can you explain this answer?
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A boat travels upstream from B to A and downstream from A to B in 3 hrs. If the speed of the boat in still water is 9 km/hr and the speed of the current is 3 km/hr, the distance between A and B isa)8 kmb)16 kmc)12 kmd)cannot be determinede)None of theseCorrect answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A boat travels upstream from B to A and downstream from A to B in 3 hrs. If the speed of the boat in still water is 9 km/hr and the speed of the current is 3 km/hr, the distance between A and B isa)8 kmb)16 kmc)12 kmd)cannot be determinede)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A boat travels upstream from B to A and downstream from A to B in 3 hrs. If the speed of the boat in still water is 9 km/hr and the speed of the current is 3 km/hr, the distance between A and B isa)8 kmb)16 kmc)12 kmd)cannot be determinede)None of theseCorrect answer is option 'C'. Can you explain this answer?.
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