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A can do a piece of work in 20 days and B in 30 days. They work together for 7 days and then both leave the work. Then C alone finishes the remaining work in 10 days. In how many days will C finish the full work?
  • a)
    25 days
  • b)
    30 days
  • c)
    24 days
  • d)
    20 days
  • e)
    None of these
Correct answer is option 'C'. Can you explain this answer?
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A can do a piece of work in 20 days and B in 30 days. They work togeth...
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A can do a piece of work in 20 days and B in 30 days. They work togeth...
Given Data:
- A can do the work in 20 days
- B can do the work in 30 days
- C finishes the remaining work in 10 days

Calculation:
1. Let's find the work done by A and B together in 1 day:
- A's work rate = 1/20
- B's work rate = 1/30
- Combined work rate of A and B = 1/20 + 1/30 = 1/12
2. After working together for 7 days, the work completed by A and B:
- Work done in 7 days = 7 * (1/12) = 7/12
3. Work remaining after 7 days:
- Work remaining = 1 - 7/12 = 5/12
4. Since C completes the remaining work in 10 days, C's work rate:
- C's work rate = 5/12 / 10 = 1/24
5. Time taken by C to complete the full work:
- C can do the full work in 24 days
Therefore, C will finish the full work in 24 days. Hence, option 'c' is the correct answer.
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A can do a piece of work in 20 days and B in 30 days. They work together for 7 days and then both leave the work. Then C alone finishes the remaining work in 10 days. In how many days will C finish the full work?a)25 daysb)30 daysc)24 daysd)20 dayse)None of theseCorrect answer is option 'C'. Can you explain this answer?
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