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A work is done by three persons A, B and C. A alone takes 9 minutes to manufacture a single bolt, while B and C working together take 6 minutes to manufacture a single bolt. If the entire task requires manufacturing of 30 such bolts, and all three work together, then how many minutes does the trio need to work for?
Correct answer is '108'. Can you explain this answer?
Most Upvoted Answer
A work is done by three persons A, B and C. A alone takes 9 minutes to...
A alone takes 9 minutes to manufacture a single bolt, hence in 1 minute, 1/9th of a bolt is manufactured.
B and C working together take 6 minutes to manufacture a single bolt, hence in 1 minute, 1/6th of a bolt is manufactured.
If all three start working together, then in 1 minute, they can manufacture (1/9 + 1/6)th of a bolt or 5/18th of a bolt,
Hence 1 bolt takes the trio 18/5 or 3.6 minutes to manufacture.
Thus 30 bolts will take the trio 30*3.6 = 108 minutes to manufacture.
B and C working together take 6 minutes to manufacture a single bolt, hence in 1 minute, 1/6th of a bolt is manufactured.
If all three start working together, then in 1 minute, they can manufacture (1/9 + 1/6)th of a bolt or 5/18th of a bolt,
Hence 1 bolt takes the trio 18/5 or 3.6 minutes to manufacture.
Thus 30 bolts will take the trio 30*3.6 = 108 minutes to manufacture.
Community Answer
A work is done by three persons A, B and C. A alone takes 9 minutes to...
Problem: A work is done by three persons A, B and C. A alone takes 9 minutes to manufacture a single bolt, while B and C working together take 6 minutes to manufacture a single bolt. If the entire task requires manufacturing of 30 such bolts, and all three work together, then how many minutes does the trio need to work for?
Solution:
Let's first calculate the time taken by B and C together to manufacture one bolt. We can use the formula:
Time taken = (Product of times)/(Sum of times)
In this case, B and C together take 6 minutes to manufacture one bolt. Using this information, we can calculate their efficiency as:
Efficiency of B and C together = 1/6
Now, let's calculate the efficiency of A:
Efficiency of A = 1/9
If all three work together, their efficiency will be:
Efficiency of A, B and C together = Efficiency of A + Efficiency of B and C together
Efficiency of A, B and C together = 1/9 + 1/6
Efficiency of A, B and C together = 1/3
To manufacture 30 bolts, the trio needs to work for:
Time taken = (Total work)/(Efficiency of A, B and C together)
Time taken = 30/(1/3)
Time taken = 90 minutes
Therefore, the trio needs to work for 90 minutes to manufacture 30 bolts.
Solution:
Let's first calculate the time taken by B and C together to manufacture one bolt. We can use the formula:
Time taken = (Product of times)/(Sum of times)
In this case, B and C together take 6 minutes to manufacture one bolt. Using this information, we can calculate their efficiency as:
Efficiency of B and C together = 1/6
Now, let's calculate the efficiency of A:
Efficiency of A = 1/9
If all three work together, their efficiency will be:
Efficiency of A, B and C together = Efficiency of A + Efficiency of B and C together
Efficiency of A, B and C together = 1/9 + 1/6
Efficiency of A, B and C together = 1/3
To manufacture 30 bolts, the trio needs to work for:
Time taken = (Total work)/(Efficiency of A, B and C together)
Time taken = 30/(1/3)
Time taken = 90 minutes
Therefore, the trio needs to work for 90 minutes to manufacture 30 bolts.
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A work is done by three persons A, B and C. A alone takes 9 minutes to manufacture a single bolt, while B and C working together take 6 minutes to manufacture a single bolt. If the entire task requires manufacturing of 30 such bolts, and all three work together, then how many minutes does the trio need to work for?Correct answer is '108'. Can you explain this answer?
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A work is done by three persons A, B and C. A alone takes 9 minutes to manufacture a single bolt, while B and C working together take 6 minutes to manufacture a single bolt. If the entire task requires manufacturing of 30 such bolts, and all three work together, then how many minutes does the trio need to work for?Correct answer is '108'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A work is done by three persons A, B and C. A alone takes 9 minutes to manufacture a single bolt, while B and C working together take 6 minutes to manufacture a single bolt. If the entire task requires manufacturing of 30 such bolts, and all three work together, then how many minutes does the trio need to work for?Correct answer is '108'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A work is done by three persons A, B and C. A alone takes 9 minutes to manufacture a single bolt, while B and C working together take 6 minutes to manufacture a single bolt. If the entire task requires manufacturing of 30 such bolts, and all three work together, then how many minutes does the trio need to work for?Correct answer is '108'. Can you explain this answer?.
A work is done by three persons A, B and C. A alone takes 9 minutes to manufacture a single bolt, while B and C working together take 6 minutes to manufacture a single bolt. If the entire task requires manufacturing of 30 such bolts, and all three work together, then how many minutes does the trio need to work for?Correct answer is '108'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A work is done by three persons A, B and C. A alone takes 9 minutes to manufacture a single bolt, while B and C working together take 6 minutes to manufacture a single bolt. If the entire task requires manufacturing of 30 such bolts, and all three work together, then how many minutes does the trio need to work for?Correct answer is '108'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A work is done by three persons A, B and C. A alone takes 9 minutes to manufacture a single bolt, while B and C working together take 6 minutes to manufacture a single bolt. If the entire task requires manufacturing of 30 such bolts, and all three work together, then how many minutes does the trio need to work for?Correct answer is '108'. Can you explain this answer?.
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A work is done by three persons A, B and C. A alone takes 9 minutes to manufacture a single bolt, while B and C working together take 6 minutes to manufacture a single bolt. If the entire task requires manufacturing of 30 such bolts, and all three work together, then how many minutes does the trio need to work for?Correct answer is '108'. Can you explain this answer?, a detailed solution for A work is done by three persons A, B and C. A alone takes 9 minutes to manufacture a single bolt, while B and C working together take 6 minutes to manufacture a single bolt. If the entire task requires manufacturing of 30 such bolts, and all three work together, then how many minutes does the trio need to work for?Correct answer is '108'. Can you explain this answer? has been provided alongside types of A work is done by three persons A, B and C. A alone takes 9 minutes to manufacture a single bolt, while B and C working together take 6 minutes to manufacture a single bolt. If the entire task requires manufacturing of 30 such bolts, and all three work together, then how many minutes does the trio need to work for?Correct answer is '108'. Can you explain this answer? theory, EduRev gives you an
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