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A Boat takes total 10 hours for traveling downstream from point A to point B and coming back point C which is somewhere between A and B. The speed of the Boat in Still water is 9 Km/hr and rate of Stream is 3 Km/hr, then what is the distance between A and B if the ratio of distance between A to C and distance between B to C is 2:1?
- a)54 Km
- b)66 Km
- c)72 Km
- d)84 Km
- e)Cannot be determined
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A Boat takes total 10 hours for traveling downstream from point A to p...
Answer – 3. 72 Km Explanation : 10 = D/12 + D/18
D = 72
D = 72
Most Upvoted Answer
A Boat takes total 10 hours for traveling downstream from point A to p...
Given ratio of distance = 2:1,
let the distance between A and C =2X km and B To C = X km respectively.
total dis. travelled A to B= 3X km
downstream speed =(9+3)=12 km/hr.
upstream Speed =(9-3)= 6km/hr;
so, time taken to travel from A to B= 3X/12 hrs. similarly between B to C =X/6 hrs.
Total time taken =(3X/12+X/6)= 5X/12 hrs.
equating 5X/12= 10, we get X=24 kms.
so, the distance between A to B= 3X=(3*24)= 72 kms.
op(c)
let the distance between A and C =2X km and B To C = X km respectively.
total dis. travelled A to B= 3X km
downstream speed =(9+3)=12 km/hr.
upstream Speed =(9-3)= 6km/hr;
so, time taken to travel from A to B= 3X/12 hrs. similarly between B to C =X/6 hrs.
Total time taken =(3X/12+X/6)= 5X/12 hrs.
equating 5X/12= 10, we get X=24 kms.
so, the distance between A to B= 3X=(3*24)= 72 kms.
op(c)
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Community Answer
A Boat takes total 10 hours for traveling downstream from point A to p...
Given:
- Speed of the boat in still water = 9 km/hr
- Rate of stream = 3 km/hr
- Time taken to travel downstream from A to B and back from C to A = 10 hours
- Ratio of distance between A and C to distance between B and C = 2:1
To find:
- Distance between A and B
Approach:
- Let the distance between A and C be 2x
- Let the distance between B and C be x
- Using the formula distance = speed x time, calculate the time taken to travel from A to C and from C to A
- Using the formula speed of boat in still water = (speed downstream + speed upstream)/2 and the given rate of stream, calculate the speed downstream and speed upstream
- Using the formula distance = speed x time, calculate the distance between A and B
Solution:
Time taken to travel from A to C:
- Speed downstream = speed of boat in still water + rate of stream = 9 + 3 = 12 km/hr
- Time taken to travel from A to C = distance/speed downstream = 2x/12
Time taken to travel from C to A:
- Speed upstream = speed of boat in still water - rate of stream = 9 - 3 = 6 km/hr
- Time taken to travel from C to A = distance/speed upstream = x/6
Total time taken:
- Total time taken = time taken to travel from A to C + time taken to travel from C to A
- 10 = (2x/12) + (x/6)
- Solving for x, we get x = 24
Distance between A and B:
- Distance between A and C = 2x = 48
- Distance between B and C = x = 24
- Ratio of distance between A to C and distance between B to C = 2:1
- Therefore, distance between A and B = distance between A and C + distance between B and C = 48 + 24 = 72 km
Therefore, the distance between A and B is 72 km, which is option (c).
- Speed of the boat in still water = 9 km/hr
- Rate of stream = 3 km/hr
- Time taken to travel downstream from A to B and back from C to A = 10 hours
- Ratio of distance between A and C to distance between B and C = 2:1
To find:
- Distance between A and B
Approach:
- Let the distance between A and C be 2x
- Let the distance between B and C be x
- Using the formula distance = speed x time, calculate the time taken to travel from A to C and from C to A
- Using the formula speed of boat in still water = (speed downstream + speed upstream)/2 and the given rate of stream, calculate the speed downstream and speed upstream
- Using the formula distance = speed x time, calculate the distance between A and B
Solution:
Time taken to travel from A to C:
- Speed downstream = speed of boat in still water + rate of stream = 9 + 3 = 12 km/hr
- Time taken to travel from A to C = distance/speed downstream = 2x/12
Time taken to travel from C to A:
- Speed upstream = speed of boat in still water - rate of stream = 9 - 3 = 6 km/hr
- Time taken to travel from C to A = distance/speed upstream = x/6
Total time taken:
- Total time taken = time taken to travel from A to C + time taken to travel from C to A
- 10 = (2x/12) + (x/6)
- Solving for x, we get x = 24
Distance between A and B:
- Distance between A and C = 2x = 48
- Distance between B and C = x = 24
- Ratio of distance between A to C and distance between B to C = 2:1
- Therefore, distance between A and B = distance between A and C + distance between B and C = 48 + 24 = 72 km
Therefore, the distance between A and B is 72 km, which is option (c).
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A Boat takes total 10 hours for traveling downstream from point A to point B and coming back point C which is somewhere between A and B. The speed of the Boat in Still water is 9 Km/hr and rate of Stream is 3 Km/hr, then what is the distance between A and B if the ratio of distance between A to C and distance between B to C is 2:1?a)54 Kmb)66 Kmc)72 Kmd)84 Kme)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer?
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A Boat takes total 10 hours for traveling downstream from point A to point B and coming back point C which is somewhere between A and B. The speed of the Boat in Still water is 9 Km/hr and rate of Stream is 3 Km/hr, then what is the distance between A and B if the ratio of distance between A to C and distance between B to C is 2:1?a)54 Kmb)66 Kmc)72 Kmd)84 Kme)Cannot be determinedCorrect 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 takes total 10 hours for traveling downstream from point A to point B and coming back point C which is somewhere between A and B. The speed of the Boat in Still water is 9 Km/hr and rate of Stream is 3 Km/hr, then what is the distance between A and B if the ratio of distance between A to C and distance between B to C is 2:1?a)54 Kmb)66 Kmc)72 Kmd)84 Kme)Cannot be determinedCorrect 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 takes total 10 hours for traveling downstream from point A to point B and coming back point C which is somewhere between A and B. The speed of the Boat in Still water is 9 Km/hr and rate of Stream is 3 Km/hr, then what is the distance between A and B if the ratio of distance between A to C and distance between B to C is 2:1?a)54 Kmb)66 Kmc)72 Kmd)84 Kme)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer?.
A Boat takes total 10 hours for traveling downstream from point A to point B and coming back point C which is somewhere between A and B. The speed of the Boat in Still water is 9 Km/hr and rate of Stream is 3 Km/hr, then what is the distance between A and B if the ratio of distance between A to C and distance between B to C is 2:1?a)54 Kmb)66 Kmc)72 Kmd)84 Kme)Cannot be determinedCorrect 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 takes total 10 hours for traveling downstream from point A to point B and coming back point C which is somewhere between A and B. The speed of the Boat in Still water is 9 Km/hr and rate of Stream is 3 Km/hr, then what is the distance between A and B if the ratio of distance between A to C and distance between B to C is 2:1?a)54 Kmb)66 Kmc)72 Kmd)84 Kme)Cannot be determinedCorrect 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 takes total 10 hours for traveling downstream from point A to point B and coming back point C which is somewhere between A and B. The speed of the Boat in Still water is 9 Km/hr and rate of Stream is 3 Km/hr, then what is the distance between A and B if the ratio of distance between A to C and distance between B to C is 2:1?a)54 Kmb)66 Kmc)72 Kmd)84 Kme)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer?.
Solutions for A Boat takes total 10 hours for traveling downstream from point A to point B and coming back point C which is somewhere between A and B. The speed of the Boat in Still water is 9 Km/hr and rate of Stream is 3 Km/hr, then what is the distance between A and B if the ratio of distance between A to C and distance between B to C is 2:1?a)54 Kmb)66 Kmc)72 Kmd)84 Kme)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
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