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In one hour, a boat goes 14 km/hr along the stream and 8 km/hr against the stream. The speed of the boat in still water (in km/hr) is:
- a)12 km/hr
- b)11 km/hr
- c)10 km/hr
- d)8 km/hr
Correct answer is option 'B'. Can you explain this answer?
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In one hour, a boat goes 14 km/hr along the stream and 8 km/hr against...
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In one hour, a boat goes 14 km/hr along the stream and 8 km/hr against...
Calculation:
Let the speed of the boat in still water be x km/hr
Speed downstream = (x + y) km/hr
Speed upstream = (x - y) km/hr
Given, boat goes 14 km/hr along the stream and 8 km/hr against the stream.
Therefore, we have
x + y = 14 …(1)
x - y = 8 …(2)
Adding equation (1) and (2), we get:
2x = 22
x = 11 km/hr
Therefore, the speed of the boat in still water is 11 km/hr
Explanation:
The speed of the boat in still water can be determined by using the concept of relative velocity. The speed of the boat with respect to the water is different when it moves upstream or downstream. When the boat moves downstream, the speed of the stream is added to the speed of the boat. When the boat moves upstream, the speed of the stream is subtracted from the speed of the boat.
In this problem, the speed downstream is given as 14 km/hr and the speed upstream is given as 8 km/hr. Using the above concept, we can write two equations (as shown above). By solving these equations, we get the speed of the boat in still water as 11 km/hr.
Hence, option (B) is the correct answer.
Let the speed of the boat in still water be x km/hr
Speed downstream = (x + y) km/hr
Speed upstream = (x - y) km/hr
Given, boat goes 14 km/hr along the stream and 8 km/hr against the stream.
Therefore, we have
x + y = 14 …(1)
x - y = 8 …(2)
Adding equation (1) and (2), we get:
2x = 22
x = 11 km/hr
Therefore, the speed of the boat in still water is 11 km/hr
Explanation:
The speed of the boat in still water can be determined by using the concept of relative velocity. The speed of the boat with respect to the water is different when it moves upstream or downstream. When the boat moves downstream, the speed of the stream is added to the speed of the boat. When the boat moves upstream, the speed of the stream is subtracted from the speed of the boat.
In this problem, the speed downstream is given as 14 km/hr and the speed upstream is given as 8 km/hr. Using the above concept, we can write two equations (as shown above). By solving these equations, we get the speed of the boat in still water as 11 km/hr.
Hence, option (B) is the correct answer.
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In one hour, a boat goes 14 km/hr along the stream and 8 km/hr against the stream. The speed of the boat in still water (in km/hr) is:a)12 km/hrb)11 km/hrc)10 km/hrd)8 km/hrCorrect answer is option 'B'. Can you explain this answer? for LR 2025 is part of LR preparation. The Question and answers have been prepared according to the LR exam syllabus. Information about In one hour, a boat goes 14 km/hr along the stream and 8 km/hr against the stream. The speed of the boat in still water (in km/hr) is:a)12 km/hrb)11 km/hrc)10 km/hrd)8 km/hrCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for LR 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In one hour, a boat goes 14 km/hr along the stream and 8 km/hr against the stream. The speed of the boat in still water (in km/hr) is:a)12 km/hrb)11 km/hrc)10 km/hrd)8 km/hrCorrect answer is option 'B'. Can you explain this answer?.
In one hour, a boat goes 14 km/hr along the stream and 8 km/hr against the stream. The speed of the boat in still water (in km/hr) is:a)12 km/hrb)11 km/hrc)10 km/hrd)8 km/hrCorrect answer is option 'B'. Can you explain this answer? for LR 2025 is part of LR preparation. The Question and answers have been prepared according to the LR exam syllabus. Information about In one hour, a boat goes 14 km/hr along the stream and 8 km/hr against the stream. The speed of the boat in still water (in km/hr) is:a)12 km/hrb)11 km/hrc)10 km/hrd)8 km/hrCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for LR 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In one hour, a boat goes 14 km/hr along the stream and 8 km/hr against the stream. The speed of the boat in still water (in km/hr) is:a)12 km/hrb)11 km/hrc)10 km/hrd)8 km/hrCorrect answer is option 'B'. Can you explain this answer?.
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