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A and B can do a piece of work in 18 and 12 days , respectively. if they work for a day alternately, a beginning, in how many days the work will be completed?
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A and B can do a piece of work in 18 and 12 days , respectively. if th...
Solution:
Given data:
- A can do the work in 18 days.
- B can do the work in 12 days.
Approach:
- First, find the efficiency of A and B.
- Then, calculate the work done by A and B together in a day.
- Finally, determine how many days A and B will take to complete the work alternately.
Calculations:
- Efficiency of A = 1/18 (work done by A in 1 day)
- Efficiency of B = 1/12 (work done by B in 1 day)
- Efficiency of A and B together = 1/18 + 1/12 = 5/36 (work done by A and B together in 1 day)
Explanation:
- In 2 days, A and B together will complete 2*(5/36) = 5/18 of the work.
- After 2 days, A will complete 1/18 of the work while B will complete 1/12 of the work.
- Therefore, in 3 days, A and B together will complete 5/18 + 1/18 + 1/12 = 1/2 of the work.
- The work will be completed in 3 days if A and B work alternately from the beginning.
Therefore, the work will be completed in 3 days if A and B work alternately from the beginning.
Given data:
- A can do the work in 18 days.
- B can do the work in 12 days.
Approach:
- First, find the efficiency of A and B.
- Then, calculate the work done by A and B together in a day.
- Finally, determine how many days A and B will take to complete the work alternately.
Calculations:
- Efficiency of A = 1/18 (work done by A in 1 day)
- Efficiency of B = 1/12 (work done by B in 1 day)
- Efficiency of A and B together = 1/18 + 1/12 = 5/36 (work done by A and B together in 1 day)
Explanation:
- In 2 days, A and B together will complete 2*(5/36) = 5/18 of the work.
- After 2 days, A will complete 1/18 of the work while B will complete 1/12 of the work.
- Therefore, in 3 days, A and B together will complete 5/18 + 1/18 + 1/12 = 1/2 of the work.
- The work will be completed in 3 days if A and B work alternately from the beginning.
Therefore, the work will be completed in 3 days if A and B work alternately from the beginning.
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A and B can do a piece of work in 18 and 12 days , respectively. if they work for a day alternately, a beginning, in how many days the work will be completed?
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A and B can do a piece of work in 18 and 12 days , respectively. if they work for a day alternately, a beginning, in how many days the work will be completed? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A and B can do a piece of work in 18 and 12 days , respectively. if they work for a day alternately, a beginning, in how many days the work will be completed? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A and B can do a piece of work in 18 and 12 days , respectively. if they work for a day alternately, a beginning, in how many days the work will be completed?.
A and B can do a piece of work in 18 and 12 days , respectively. if they work for a day alternately, a beginning, in how many days the work will be completed? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A and B can do a piece of work in 18 and 12 days , respectively. if they work for a day alternately, a beginning, in how many days the work will be completed? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A and B can do a piece of work in 18 and 12 days , respectively. if they work for a day alternately, a beginning, in how many days the work will be completed?.
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