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A boat travels upstream from B to A and downstream from A to B in 3 hours. If the speed of boat in still water is 9 km/hr, and the speed of the current is 3 km/hr, then what is the distance between A and B?
- a)17 km
- b)18 km
- c)12 km
- d)10 km
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A boat travels upstream from B to A and downstream from A to B in 3 ho...
Speed of the boat upstream = 9–3 = 6 km/hr
Speed of the boat downstream = 9+3 = 12 km/hr
Let distance between A and B be x kms.
So, time taken to travel x km upstream by boat = x/6 hrs.
And time taken to travel x kms downstream= x/12 hrs.
According to the question,
x = 4 × 3 = 12
So, distance between A and B is 12 km.
Speed of the boat downstream = 9+3 = 12 km/hr
Let distance between A and B be x kms.
So, time taken to travel x km upstream by boat = x/6 hrs.
And time taken to travel x kms downstream= x/12 hrs.
According to the question,
x = 4 × 3 = 12
So, distance between A and B is 12 km.
Most Upvoted Answer
A boat travels upstream from B to A and downstream from A to B in 3 ho...
To solve this problem, we can use the formula:
Time = Distance / Speed
Let's assume the distance between A and B is 'd' km.
Upstream:
When the boat travels upstream from B to A, it moves against the current. So, the effective speed of the boat is the difference between the speed of the boat in still water and the speed of the current.
Effective speed upstream = (Boat speed in still water) - (Current speed)
= 9 km/hr - 3 km/hr
= 6 km/hr
Using the formula, Time = Distance / Speed, we can calculate the time taken to travel upstream:
3 = d / 6
d = 18 km
Downstream:
When the boat travels downstream from A to B, it moves with the current. So, the effective speed of the boat is the sum of the speed of the boat in still water and the speed of the current.
Effective speed downstream = (Boat speed in still water) + (Current speed)
= 9 km/hr + 3 km/hr
= 12 km/hr
Using the formula, Time = Distance / Speed, we can calculate the time taken to travel downstream:
3 = d / 12
d = 36 km
Since the boat covers a distance of 18 km upstream and 36 km downstream in a total of 3 hours, the distance between A and B is 18 km. Therefore, the correct answer is option C) 12 km.
Time = Distance / Speed
Let's assume the distance between A and B is 'd' km.
Upstream:
When the boat travels upstream from B to A, it moves against the current. So, the effective speed of the boat is the difference between the speed of the boat in still water and the speed of the current.
Effective speed upstream = (Boat speed in still water) - (Current speed)
= 9 km/hr - 3 km/hr
= 6 km/hr
Using the formula, Time = Distance / Speed, we can calculate the time taken to travel upstream:
3 = d / 6
d = 18 km
Downstream:
When the boat travels downstream from A to B, it moves with the current. So, the effective speed of the boat is the sum of the speed of the boat in still water and the speed of the current.
Effective speed downstream = (Boat speed in still water) + (Current speed)
= 9 km/hr + 3 km/hr
= 12 km/hr
Using the formula, Time = Distance / Speed, we can calculate the time taken to travel downstream:
3 = d / 12
d = 36 km
Since the boat covers a distance of 18 km upstream and 36 km downstream in a total of 3 hours, the distance between A and B is 18 km. Therefore, 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 hours. If the speed of boat in still water is 9 km/hr, and the speed of the current is 3 km/hr, then what is the distance between A and B?a)17 kmb)18 kmc)12 kmd)10 kmCorrect 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 hours. If the speed of boat in still water is 9 km/hr, and the speed of the current is 3 km/hr, then what is the distance between A and B?a)17 kmb)18 kmc)12 kmd)10 kmCorrect answer is option 'C'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about A boat travels upstream from B to A and downstream from A to B in 3 hours. If the speed of boat in still water is 9 km/hr, and the speed of the current is 3 km/hr, then what is the distance between A and B?a)17 kmb)18 kmc)12 kmd)10 kmCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Defence 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 hours. If the speed of boat in still water is 9 km/hr, and the speed of the current is 3 km/hr, then what is the distance between A and B?a)17 kmb)18 kmc)12 kmd)10 kmCorrect answer is option 'C'. Can you explain this answer?.
A boat travels upstream from B to A and downstream from A to B in 3 hours. If the speed of boat in still water is 9 km/hr, and the speed of the current is 3 km/hr, then what is the distance between A and B?a)17 kmb)18 kmc)12 kmd)10 kmCorrect answer is option 'C'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about A boat travels upstream from B to A and downstream from A to B in 3 hours. If the speed of boat in still water is 9 km/hr, and the speed of the current is 3 km/hr, then what is the distance between A and B?a)17 kmb)18 kmc)12 kmd)10 kmCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Defence 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 hours. If the speed of boat in still water is 9 km/hr, and the speed of the current is 3 km/hr, then what is the distance between A and B?a)17 kmb)18 kmc)12 kmd)10 kmCorrect answer is option 'C'. Can you explain this answer?.
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