Quant Exam > Quant Questions > A Boat takes total 16 hours for traveling dow...
Start Learning for Free
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?
| FREE This question is part of | Download PDF Attempt this Test |
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
One equation two variable so cannot be determined
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.
- 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.
Free Test
FREE
| Start Free Test |
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
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
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?
Question Description
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?.
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?.
Solutions 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? in English & in Hindi are available as part of our courses for Quant.
Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of 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? defined & explained in the simplest way possible. Besides giving the explanation of
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?, a detailed solution 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? has been provided alongside types of 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? theory, EduRev gives you an
ample number of questions to practice 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? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup