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A can complete a piece of work in 12 days. A and B together can complete the same piece of work in 8 days. In how many days, can B alone complete the same piece of work?
- a)15 days
- b)18 days
- c)24 days
- d)28 days
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
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A can complete a piece of work in 12 days. A and B together can comple...
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A can complete a piece of work in 12 days. A and B together can comple...
To solve this problem, let's assume that the total work to be done is represented by W.
A's rate of work:
We are given that A can complete the work in 12 days. Therefore, A's rate of work is 1/12 of the total work per day.
B's rate of work:
Let's assume that B can complete the work in x days. Therefore, B's rate of work is 1/x of the total work per day.
Combined rate of work for A and B:
We are given that A and B can complete the work together in 8 days. Therefore, their combined rate of work is 1/8 of the total work per day.
Using the above information, we can set up the following equation:
A's rate + B's rate = Combined rate
1/12 + 1/x = 1/8
To solve this equation, we can find the least common denominator (LCD) of 12, x, and 8, which is 24x. Multiplying both sides of the equation by 24x, we get:
2x + 24 = 3x
Simplifying the equation, we find:
24 = x
Therefore, B can complete the work alone in 24 days.
Hence, the correct answer is option C) 24 days.
A's rate of work:
We are given that A can complete the work in 12 days. Therefore, A's rate of work is 1/12 of the total work per day.
B's rate of work:
Let's assume that B can complete the work in x days. Therefore, B's rate of work is 1/x of the total work per day.
Combined rate of work for A and B:
We are given that A and B can complete the work together in 8 days. Therefore, their combined rate of work is 1/8 of the total work per day.
Using the above information, we can set up the following equation:
A's rate + B's rate = Combined rate
1/12 + 1/x = 1/8
To solve this equation, we can find the least common denominator (LCD) of 12, x, and 8, which is 24x. Multiplying both sides of the equation by 24x, we get:
2x + 24 = 3x
Simplifying the equation, we find:
24 = x
Therefore, B can complete the work alone in 24 days.
Hence, the correct answer is option C) 24 days.
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A can complete a piece of work in 12 days. A and B together can complete the same piece of work in 8 days. In how many days, can B alone complete the same piece of work? a)15 daysb)18 daysc)24 daysd)28 dayse)None of theseCorrect answer is option 'C'. Can you explain this answer?
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A can complete a piece of work in 12 days. A and B together can complete the same piece of work in 8 days. In how many days, can B alone complete the same piece of work? a)15 daysb)18 daysc)24 daysd)28 dayse)None of theseCorrect answer is option 'C'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about A can complete a piece of work in 12 days. A and B together can complete the same piece of work in 8 days. In how many days, can B alone complete the same piece of work? a)15 daysb)18 daysc)24 daysd)28 dayse)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A can complete a piece of work in 12 days. A and B together can complete the same piece of work in 8 days. In how many days, can B alone complete the same piece of work? a)15 daysb)18 daysc)24 daysd)28 dayse)None of theseCorrect answer is option 'C'. Can you explain this answer?.
A can complete a piece of work in 12 days. A and B together can complete the same piece of work in 8 days. In how many days, can B alone complete the same piece of work? a)15 daysb)18 daysc)24 daysd)28 dayse)None of theseCorrect answer is option 'C'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about A can complete a piece of work in 12 days. A and B together can complete the same piece of work in 8 days. In how many days, can B alone complete the same piece of work? a)15 daysb)18 daysc)24 daysd)28 dayse)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A can complete a piece of work in 12 days. A and B together can complete the same piece of work in 8 days. In how many days, can B alone complete the same piece of work? a)15 daysb)18 daysc)24 daysd)28 dayse)None of theseCorrect answer is option 'C'. Can you explain this answer?.
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