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And B can do a piece of work in 20 days and 25 days respectively. They work together for 5 days and then B leaves. In how many days the work will be completed?
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And B can do a piece of work in 20 days and 25 days respectively. They...
Work Completion Calculation:
1. Individual work rates:
- A can complete the work in 30 days
- B can complete the work in 20 days
2. Work done in 1 day:
- A's work rate: 1/30
- B's work rate: 1/20
- Combined work rate: 1/30 + 1/20 = 1/12
3. Work done in 5 days by A and B working together:
- Total work done in 5 days: 5 * (1/12) = 5/12
4. Remaining work after 5 days:
- Work left: 1 - 5/12 = 7/12
5. Time taken for B to complete the remaining work:
- B's work rate: 1/25
- Time taken by B to complete the remaining work: (7/12) / (1/25) = 175/12 days
6. Total time taken to complete the work:
- Time taken by A and B together: 5 days
- Time taken by B alone: 175/12 days
- Total time taken: 5 + 175/12 = 215/12 days
Therefore, the work will be completed in 215/12 days when B leaves after working together for 5 days.
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And B can do a piece of work in 20 days and 25 days respectively. They work together for 5 days and then B leaves. In how many days the work will be completed?
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