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‘A’ can complete a work in 20 days while B is 25% more efficient than ‘A’. B worked for 6 days
and left, remaining work is completed by ‘C’ in 15 days. Find in how many days ‘C’ can complete the?
and left, remaining work is completed by ‘C’ in 15 days. Find in how many days ‘C’ can complete the?
Most Upvoted Answer
‘A’ can complete a work in 20 days while B is 25% more efficient than ...
Understanding A's Work Rate
A can complete the work in 20 days. Therefore, A's work rate is:
- Work Rate of A: 1/20 work per day
Calculating B's Efficiency
B is 25% more efficient than A. Thus,
- Efficiency Increase: 25% of A's rate = 0.25 * (1/20) = 1/80
- Work Rate of B: (1/20 + 1/80) = (4/80 + 1/80) = 5/80 = 1/16 work per day
Work Done by B
B worked for 6 days, so the work completed by B is:
- Work Done by B: 6 * (1/16) = 6/16 = 3/8
Remaining Work
The total work is 1 (whole work). Therefore, the remaining work after B leaves is:
- Remaining Work: 1 - 3/8 = 5/8
C's Work Rate
C completes the remaining work in 15 days. Thus, C's work rate is:
- Work Rate of C: (5/8) / 15 = 5/120 = 1/24 work per day
Calculating C's Time to Complete the Entire Work
To find how many days C can complete the entire work:
- C's Total Days for Complete Work: 1 / (1/24) = 24 days
Conclusion
C can complete the entire work in 24 days.
A can complete the work in 20 days. Therefore, A's work rate is:
- Work Rate of A: 1/20 work per day
Calculating B's Efficiency
B is 25% more efficient than A. Thus,
- Efficiency Increase: 25% of A's rate = 0.25 * (1/20) = 1/80
- Work Rate of B: (1/20 + 1/80) = (4/80 + 1/80) = 5/80 = 1/16 work per day
Work Done by B
B worked for 6 days, so the work completed by B is:
- Work Done by B: 6 * (1/16) = 6/16 = 3/8
Remaining Work
The total work is 1 (whole work). Therefore, the remaining work after B leaves is:
- Remaining Work: 1 - 3/8 = 5/8
C's Work Rate
C completes the remaining work in 15 days. Thus, C's work rate is:
- Work Rate of C: (5/8) / 15 = 5/120 = 1/24 work per day
Calculating C's Time to Complete the Entire Work
To find how many days C can complete the entire work:
- C's Total Days for Complete Work: 1 / (1/24) = 24 days
Conclusion
C can complete the entire work in 24 days.
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‘A’ can complete a work in 20 days while B is 25% more efficient than ‘A’. B worked for 6 days and left, remaining work is completed by ‘C’ in 15 days. Find in how many days ‘C’ can complete the?
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‘A’ can complete a work in 20 days while B is 25% more efficient than ‘A’. B worked for 6 days and left, remaining work is completed by ‘C’ in 15 days. Find in how many days ‘C’ can complete the? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about ‘A’ can complete a work in 20 days while B is 25% more efficient than ‘A’. B worked for 6 days and left, remaining work is completed by ‘C’ in 15 days. Find in how many days ‘C’ can complete the? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for ‘A’ can complete a work in 20 days while B is 25% more efficient than ‘A’. B worked for 6 days and left, remaining work is completed by ‘C’ in 15 days. Find in how many days ‘C’ can complete the?.
‘A’ can complete a work in 20 days while B is 25% more efficient than ‘A’. B worked for 6 days and left, remaining work is completed by ‘C’ in 15 days. Find in how many days ‘C’ can complete the? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about ‘A’ can complete a work in 20 days while B is 25% more efficient than ‘A’. B worked for 6 days and left, remaining work is completed by ‘C’ in 15 days. Find in how many days ‘C’ can complete the? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for ‘A’ can complete a work in 20 days while B is 25% more efficient than ‘A’. B worked for 6 days and left, remaining work is completed by ‘C’ in 15 days. Find in how many days ‘C’ can complete the?.
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