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A can do a work in 12 days. When he had worked for 3 days, B joined him. If they complete the work in 3 more days, in how many days can B alone finish the work?
  • a)
    6 days  
  • b)
    12 days 
  • c)
    4 days 
  • d)
    8 days 
  • e)
    None of these
Correct answer is option 'A'. Can you explain this answer?
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A can do a work in 12 days. When he had worked for 3 days, B joined hi...
Given information:
- A can complete the work in 12 days.
- A worked for 3 days before B joined.
- They completed the work in 3 more days together.

Calculating A's work rate:
- As A can complete the work in 12 days, his work rate is 1/12 of the work per day.
- In 3 days, A completed 3 * (1/12) = 1/4 of the work.

Calculating B's work rate:
- As A and B completed the work together in 3 more days, their combined work rate is 1/3 of the work per day.
- As A's work rate is 1/12 of the work per day, B's work rate can be calculated as follows:
- Let B's work rate be x.
- A's work rate + B's work rate = Combined work rate
- 1/12 + x = 1/3
- x = 1/3 - 1/12
- x = 1/4

Calculating the time taken by B to complete the work alone:
- B's work rate is 1/4 of the work per day.
- In one day, B can complete 1/4 of the work.
- Therefore, B can complete the entire work in 4 days.

Hence, the correct answer is option A) 6 days.
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