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A Boat takes total 16 hours for traveling downstream from point A to point B and coming back point C which is somewhere between A and B. If the speed of the Boat in Still water is 9 Km/hr and rate of stream is 6 Km/hr, then what is the distance between A and C?

  • a)
    30 Km

  • b)
    60 Km

  • c)
    90 Km

  • d)
    100 Km

  • e)
    Cannot be determined

Correct answer is option 'E'. Can you explain this answer?
Verified Answer
A Boat takes total 16 hours for traveling downstream from point A to p...
16 = D/9+6 + x/9-6

One equation two variable so cannot be determined
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Most Upvoted Answer
A Boat takes total 16 hours for traveling downstream from point A to p...
Given Information:
- Speed of the boat in still water = 9 km/hr
- Rate of stream = 6 km/hr
- Total time taken for the boat to travel downstream from point A to point B and back from point C is 16 hours.

Approach:
To solve this problem, we can use the formula:

Time = Distance / Speed

We need to find the distance between points A and C, which we'll denote as AC. Let's assume the distance between points A and C as x km.

Solution:
1. Downstream journey:
- Speed of the boat downstream = (Speed of the boat in still water) + (Rate of stream)
- Time taken for downstream journey = Distance / Speed of the boat downstream

2. Upstream journey:
- Speed of the boat upstream = (Speed of the boat in still water) - (Rate of stream)
- Time taken for upstream journey = Distance / Speed of the boat upstream

3. Total time taken:
- Total time taken = Time taken for downstream journey + Time taken for upstream journey

Now, let's substitute the given values and solve for the distance between points A and C.

Downstream journey:
- Speed of the boat downstream = 9 + 6 = 15 km/hr (since downstream speed = boat speed in still water + rate of stream)
- Time taken for downstream journey = x / 15 hours (since distance = x km)

Upstream journey:
- Speed of the boat upstream = 9 - 6 = 3 km/hr (since upstream speed = boat speed in still water - rate of stream)
- Time taken for upstream journey = x / 3 hours (since distance = x km)

Total time taken:
- Total time taken = x / 15 + x / 3 = 16 hours

Simplifying the equation, we get:
(x + 5x) / 15 = 16
6x = 240
x = 40 km

Therefore, the distance between points A and C is 40 km.

Conclusion:
The correct answer is option E) Cannot be determined.
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Community Answer
A Boat takes total 16 hours for traveling downstream from point A to p...
Correct answer is is e becoz there is only one equation we can form
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A Boat takes total 16 hours for traveling downstream from point A to point B and coming back point C which is somewhere between A and B. If the speed of the Boat in Still water is 9 Km/hr and rate of stream is 6 Km/hr, then what is the distance between A and C?a)30 Kmb)60 Kmc)90 Kmd)100 Kme)Cannot be determinedCorrect answer is option 'E'. Can you explain this answer?
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A Boat takes total 16 hours for traveling downstream from point A to point B and coming back point C which is somewhere between A and B. If the speed of the Boat in Still water is 9 Km/hr and rate of stream is 6 Km/hr, then what is the distance between A and C?a)30 Kmb)60 Kmc)90 Kmd)100 Kme)Cannot be determinedCorrect answer is option 'E'. 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 takes total 16 hours for traveling downstream from point A to point B and coming back point C which is somewhere between A and B. If the speed of the Boat in Still water is 9 Km/hr and rate of stream is 6 Km/hr, then what is the distance between A and C?a)30 Kmb)60 Kmc)90 Kmd)100 Kme)Cannot be determinedCorrect answer is option 'E'. 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 takes total 16 hours for traveling downstream from point A to point B and coming back point C which is somewhere between A and B. If the speed of the Boat in Still water is 9 Km/hr and rate of stream is 6 Km/hr, then what is the distance between A and C?a)30 Kmb)60 Kmc)90 Kmd)100 Kme)Cannot be determinedCorrect answer is option 'E'. Can you explain this answer?.
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