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A boat covers a certain distance downstream in 4 hours but takes 6 hours to return upstream to the starting point. If the speed of the stream be 3 km/hr, find the speed of the boat in still water
- a)15 km/hr
- b)12 km/hr
- c)13 km/hr
- d)14 km/hr
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
A boat covers a certain distance downstream in 4 hours but takes 6 hou...
Let the speed of the water in still water = x
Given that speed of the stream = 3 kmph
Speed downstream = (x+3) kmph
Speed upstream = (x-3) kmph
He travels a certain distance downstream in 4 hour and come back in 6 hour.
ie, distance travelled downstream in 4 hour = distance travelled upstream in 6 hour
since distance = speed × time, we have
(x+3)4=(x−3)6
⇒ (x + 3)2 = (x - 3)3
⇒ 2x + 6 = 3x - 9
⇒ x = 6+9 = 15 kmph
Given that speed of the stream = 3 kmph
Speed downstream = (x+3) kmph
Speed upstream = (x-3) kmph
He travels a certain distance downstream in 4 hour and come back in 6 hour.
ie, distance travelled downstream in 4 hour = distance travelled upstream in 6 hour
since distance = speed × time, we have
(x+3)4=(x−3)6
⇒ (x + 3)2 = (x - 3)3
⇒ 2x + 6 = 3x - 9
⇒ x = 6+9 = 15 kmph
Most Upvoted Answer
A boat covers a certain distance downstream in 4 hours but takes 6 hou...
Given information:
- Speed of stream = 3 km/hr
- Time taken downstream = 4 hours
- Time taken upstream = 6 hours
To find:
- Speed of boat in still water
Let's assume:
- Speed of boat in still water = x km/hr
Downstream:
- Speed of boat = speed of stream + speed of boat in still water = (3 + x) km/hr
- Distance covered = speed x time = (3 + x) x 4 = 12 + 4x km
Upstream:
- Speed of boat = speed of boat in still water - speed of stream = (x - 3) km/hr
- Distance covered = speed x time = (x - 3) x 6 = 6x - 18 km
As the boat travels the same distance both downstream and upstream:
- 12 + 4x = 6x - 18
- 2x = 15
- x = 7.5
Therefore, the speed of the boat in still water is 7.5 km/hr, which is closest to option A (15 km/hr).
- Speed of stream = 3 km/hr
- Time taken downstream = 4 hours
- Time taken upstream = 6 hours
To find:
- Speed of boat in still water
Let's assume:
- Speed of boat in still water = x km/hr
Downstream:
- Speed of boat = speed of stream + speed of boat in still water = (3 + x) km/hr
- Distance covered = speed x time = (3 + x) x 4 = 12 + 4x km
Upstream:
- Speed of boat = speed of boat in still water - speed of stream = (x - 3) km/hr
- Distance covered = speed x time = (x - 3) x 6 = 6x - 18 km
As the boat travels the same distance both downstream and upstream:
- 12 + 4x = 6x - 18
- 2x = 15
- x = 7.5
Therefore, the speed of the boat in still water is 7.5 km/hr, which is closest to option A (15 km/hr).
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Community Answer
A boat covers a certain distance downstream in 4 hours but takes 6 hou...
t
1 = 4 hour
t
2 = 6 hour
y = 3 km/hr
By using the above formula, Speed of the boat in still water
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A boat covers a certain distance downstream in 4 hours but takes 6 hours to return upstream to the starting point. If the speed of the stream be 3 km/hr, find the speed of the boat in still watera)15 km/hrb)12 km/hrc)13 km/hrd)14 km/hrCorrect answer is option 'A'. Can you explain this answer?
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A boat covers a certain distance downstream in 4 hours but takes 6 hours to return upstream to the starting point. If the speed of the stream be 3 km/hr, find the speed of the boat in still watera)15 km/hrb)12 km/hrc)13 km/hrd)14 km/hrCorrect answer is option 'A'. Can you explain this answer? for LR 2024 is part of LR preparation. The Question and answers have been prepared according to the LR exam syllabus. Information about A boat covers a certain distance downstream in 4 hours but takes 6 hours to return upstream to the starting point. If the speed of the stream be 3 km/hr, find the speed of the boat in still watera)15 km/hrb)12 km/hrc)13 km/hrd)14 km/hrCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for LR 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A boat covers a certain distance downstream in 4 hours but takes 6 hours to return upstream to the starting point. If the speed of the stream be 3 km/hr, find the speed of the boat in still watera)15 km/hrb)12 km/hrc)13 km/hrd)14 km/hrCorrect answer is option 'A'. Can you explain this answer?.
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