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A and B together can do a piece of work in 30 days. A having worked for 16 days and then be finishes. Remaining work in 44 days in how many days be alone and finish the work?
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A and B together can do a piece of work in 30 days. A having worked fo...
Understanding the Problem
A and B can complete a piece of work together in 30 days. After A works for 16 days, B finishes the remaining work in 44 days. We need to determine how many days B alone would take to finish the entire work.
Work Done by A and B Together
- A and B together complete the work in 30 days.
- Work done in one day by A and B together = 1/30 of the work.
Work Done by A Alone in 16 Days
- In 16 days, A would have completed:
- Work done by A in 16 days = 16 * (1/30) = 16/30 = 8/15 of the work.
Remaining Work After A's Contribution
- Total work left after A's contribution:
- Remaining work = 1 - (8/15) = 7/15 of the work.
Work Done by B in 44 Days
- B finishes the remaining work (7/15) in 44 days.
- Work done by B in one day = (7/15) / 44 = 7/(15 * 44) = 7/660 of the work.
Calculating B's Work Rate
- If B does 7/660 of the work in one day, then to find out how many days B would take to finish the entire work:
- Total work B can do alone = 1 work unit.
- Days taken by B alone = 1 / (7/660) = 660/7 = approximately 94.29 days.
Conclusion
- B alone can finish the entire work in approximately 94.29 days, or rounded up to 95 days.
A and B can complete a piece of work together in 30 days. After A works for 16 days, B finishes the remaining work in 44 days. We need to determine how many days B alone would take to finish the entire work.
Work Done by A and B Together
- A and B together complete the work in 30 days.
- Work done in one day by A and B together = 1/30 of the work.
Work Done by A Alone in 16 Days
- In 16 days, A would have completed:
- Work done by A in 16 days = 16 * (1/30) = 16/30 = 8/15 of the work.
Remaining Work After A's Contribution
- Total work left after A's contribution:
- Remaining work = 1 - (8/15) = 7/15 of the work.
Work Done by B in 44 Days
- B finishes the remaining work (7/15) in 44 days.
- Work done by B in one day = (7/15) / 44 = 7/(15 * 44) = 7/660 of the work.
Calculating B's Work Rate
- If B does 7/660 of the work in one day, then to find out how many days B would take to finish the entire work:
- Total work B can do alone = 1 work unit.
- Days taken by B alone = 1 / (7/660) = 660/7 = approximately 94.29 days.
Conclusion
- B alone can finish the entire work in approximately 94.29 days, or rounded up to 95 days.
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A and B together can do a piece of work in 30 days. A having worked for 16 days and then be finishes. Remaining work in 44 days in how many days be alone and finish the work?
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A and B together can do a piece of work in 30 days. A having worked for 16 days and then be finishes. Remaining work in 44 days in how many days be alone and finish the work? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about A and B together can do a piece of work in 30 days. A having worked for 16 days and then be finishes. Remaining work in 44 days in how many days be alone and finish the work? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A and B together can do a piece of work in 30 days. A having worked for 16 days and then be finishes. Remaining work in 44 days in how many days be alone and finish the work?.
A and B together can do a piece of work in 30 days. A having worked for 16 days and then be finishes. Remaining work in 44 days in how many days be alone and finish the work? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about A and B together can do a piece of work in 30 days. A having worked for 16 days and then be finishes. Remaining work in 44 days in how many days be alone and finish the work? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A and B together can do a piece of work in 30 days. A having worked for 16 days and then be finishes. Remaining work in 44 days in how many days be alone and finish the work?.
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