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A boat goes 32 km upstream and 36 km downstream in 7 hours. In 9 hours, it can go 40 km upstream and 48 km downstream. If x represents the speed of the boat in still water in km/hr and y represents the speed of the stream in km/hr, then_______.
- a)x + y = 12, x – y = 8
- b)x + y = 5, x – y = 11
- c)x + y = 6, x – y = 10
- d)x + y = 10, x – y = 6
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
A boat goes 32 km upstream and 36 km downstream in 7 hours. In 9 hours...
Let speed of boat in still water = x km/h
Speed of stream current = y km/h
According to question,
In these type of questions, make factor of 24 and 36 and choose the common values which satisfy the above equations.
24 = 2, 3, 4, 6, 8, 12
36 = 3, 4, 9, 12
Choose the common factor i.e. Put this value in equation (i)
Speed of stream current = y km/h
According to question,
In these type of questions, make factor of 24 and 36 and choose the common values which satisfy the above equations.
24 = 2, 3, 4, 6, 8, 12
36 = 3, 4, 9, 12
Choose the common factor i.e. Put this value in equation (i)
x − y = 8
∴ x + y = 12
∴ x = 10, y = 2
Speed of the current,
y = 2 km/h.
∴ x + y = 12
∴ x = 10, y = 2
Speed of the current,
y = 2 km/h.
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Community Answer
A boat goes 32 km upstream and 36 km downstream in 7 hours. In 9 hours...
Understanding the Problem:
To solve this problem, we need to use the concept of relative speed of the boat with respect to the stream. The boat's speed in still water is represented by x km/hr, and the speed of the stream is represented by y km/hr.
Setting Up Equations:
1. For the first scenario (7 hours):
- Upstream speed = x - y km/hr
- Downstream speed = x + y km/hr
- Time taken to go 32 km upstream + Time taken to go 36 km downstream = 7 hours
- 32/(x-y) + 36/(x+y) = 7
2. For the second scenario (9 hours):
- Upstream speed = x - y km/hr
- Downstream speed = x + y km/hr
- Time taken to go 40 km upstream + Time taken to go 48 km downstream = 9 hours
- 40/(x-y) + 48/(x+y) = 9
Solving the Equations:
By solving the above two equations simultaneously, we get:
x + y = 12
x - y = 8
Conclusion:
Therefore, the correct answer is option A: x + y = 12, x - y = 8. This implies that the speed of the boat in still water is 10 km/hr and the speed of the stream is 2 km/hr.
To solve this problem, we need to use the concept of relative speed of the boat with respect to the stream. The boat's speed in still water is represented by x km/hr, and the speed of the stream is represented by y km/hr.
Setting Up Equations:
1. For the first scenario (7 hours):
- Upstream speed = x - y km/hr
- Downstream speed = x + y km/hr
- Time taken to go 32 km upstream + Time taken to go 36 km downstream = 7 hours
- 32/(x-y) + 36/(x+y) = 7
2. For the second scenario (9 hours):
- Upstream speed = x - y km/hr
- Downstream speed = x + y km/hr
- Time taken to go 40 km upstream + Time taken to go 48 km downstream = 9 hours
- 40/(x-y) + 48/(x+y) = 9
Solving the Equations:
By solving the above two equations simultaneously, we get:
x + y = 12
x - y = 8
Conclusion:
Therefore, the correct answer is option A: x + y = 12, x - y = 8. This implies that the speed of the boat in still water is 10 km/hr and the speed of the stream is 2 km/hr.
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A boat goes 32 km upstream and 36 km downstream in 7 hours. In 9 hours, it can go 40 km upstream and 48 km downstream. If x represents the speed of the boat in still water in km/hr and y represents the speed of the stream in km/hr, then_______.a)x + y = 12, x – y = 8b)x + y = 5, x – y = 11c)x + y = 6, x – y = 10d)x + y = 10, x – y = 6Correct answer is option 'A'. Can you explain this answer?
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A boat goes 32 km upstream and 36 km downstream in 7 hours. In 9 hours, it can go 40 km upstream and 48 km downstream. If x represents the speed of the boat in still water in km/hr and y represents the speed of the stream in km/hr, then_______.a)x + y = 12, x – y = 8b)x + y = 5, x – y = 11c)x + y = 6, x – y = 10d)x + y = 10, x – y = 6Correct answer is option 'A'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A boat goes 32 km upstream and 36 km downstream in 7 hours. In 9 hours, it can go 40 km upstream and 48 km downstream. If x represents the speed of the boat in still water in km/hr and y represents the speed of the stream in km/hr, then_______.a)x + y = 12, x – y = 8b)x + y = 5, x – y = 11c)x + y = 6, x – y = 10d)x + y = 10, x – y = 6Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A boat goes 32 km upstream and 36 km downstream in 7 hours. In 9 hours, it can go 40 km upstream and 48 km downstream. If x represents the speed of the boat in still water in km/hr and y represents the speed of the stream in km/hr, then_______.a)x + y = 12, x – y = 8b)x + y = 5, x – y = 11c)x + y = 6, x – y = 10d)x + y = 10, x – y = 6Correct answer is option 'A'. Can you explain this answer?.
A boat goes 32 km upstream and 36 km downstream in 7 hours. In 9 hours, it can go 40 km upstream and 48 km downstream. If x represents the speed of the boat in still water in km/hr and y represents the speed of the stream in km/hr, then_______.a)x + y = 12, x – y = 8b)x + y = 5, x – y = 11c)x + y = 6, x – y = 10d)x + y = 10, x – y = 6Correct answer is option 'A'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A boat goes 32 km upstream and 36 km downstream in 7 hours. In 9 hours, it can go 40 km upstream and 48 km downstream. If x represents the speed of the boat in still water in km/hr and y represents the speed of the stream in km/hr, then_______.a)x + y = 12, x – y = 8b)x + y = 5, x – y = 11c)x + y = 6, x – y = 10d)x + y = 10, x – y = 6Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A boat goes 32 km upstream and 36 km downstream in 7 hours. In 9 hours, it can go 40 km upstream and 48 km downstream. If x represents the speed of the boat in still water in km/hr and y represents the speed of the stream in km/hr, then_______.a)x + y = 12, x – y = 8b)x + y = 5, x – y = 11c)x + y = 6, x – y = 10d)x + y = 10, x – y = 6Correct answer is option 'A'. Can you explain this answer?.
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A boat goes 32 km upstream and 36 km downstream in 7 hours. In 9 hours, it can go 40 km upstream and 48 km downstream. If x represents the speed of the boat in still water in km/hr and y represents the speed of the stream in km/hr, then_______.a)x + y = 12, x – y = 8b)x + y = 5, x – y = 11c)x + y = 6, x – y = 10d)x + y = 10, x – y = 6Correct answer is option 'A'. Can you explain this answer?, a detailed solution for A boat goes 32 km upstream and 36 km downstream in 7 hours. In 9 hours, it can go 40 km upstream and 48 km downstream. If x represents the speed of the boat in still water in km/hr and y represents the speed of the stream in km/hr, then_______.a)x + y = 12, x – y = 8b)x + y = 5, x – y = 11c)x + y = 6, x – y = 10d)x + y = 10, x – y = 6Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of A boat goes 32 km upstream and 36 km downstream in 7 hours. In 9 hours, it can go 40 km upstream and 48 km downstream. If x represents the speed of the boat in still water in km/hr and y represents the speed of the stream in km/hr, then_______.a)x + y = 12, x – y = 8b)x + y = 5, x – y = 11c)x + y = 6, x – y = 10d)x + y = 10, x – y = 6Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
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