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The number of days required by A,B and C to work individually is 6, 12 and 8 respectively. They started a work doing it alternatively. If A has started then followed by B and so on, how many days are needed to complete the whole work?
  • a)
    8
  • b)
    7.5
  • c)
    8.5
  • d)
    9.5
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The number of days required by A,B and C to work individually is 6, 12...

   ► 6 / 8 = 3 / 4
In 3 days A,B,C do 3 / 8 work,
In 6 days A,B,C do 3 / 4 work
Rest work = 1 / 4, which is less than 3 / 8, On the 7th day, 1 / 6 more work will be done by A
Now rest work = 
Now, this rest work (1 / 12) will be done by B in 1 complete day.
Thus, total number of days = 6 + 1 + 1 = 8 days.
Alternatively : Efficiency of A = 16.66% , Efficiency of B = 8.33% , Efficiency of C = 12.5%
Efficiency of A + B = 25% , Efficiency of A + B + C = 37.5%
In 3 days A,B,C completes 37.5% work, In 6 days A,B,C completes 75% work
Rest work = 25%
This 25% work will be completed by A and B in next 2 days, Thus total 6 + 2 = 8 days are needed.
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Most Upvoted Answer
The number of days required by A,B and C to work individually is 6, 12...
Calculation:
The least common multiple (LCM) of 6, 12, and 8 is 24. This means that the three workers will meet after every 24 days to complete the work.

Work distribution:
- A takes 6 days to complete the work
- B takes 12 days to complete the work
- C takes 8 days to complete the work

Calculation of work done:
- In 24 days, A completes 4 units of work (24/6 = 4)
- In 24 days, B completes 2 units of work (24/12 = 2)
- In 24 days, C completes 3 units of work (24/8 = 3)

Work distribution:
- A does 4 units of work
- B does 2 units of work
- C does 3 units of work

Completion of the work:
- In the first 24 days, together they complete 9 units of work (4+2+3 = 9)
- To complete the remaining work, they will need 24/9 = 8 days
Therefore, the total number of days needed to complete the whole work is 24 + 8 = 32 days, which is equivalent to 8 days (option A).
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The number of days required by A,B and C to work individually is 6, 12 and 8 respectively. They started a work doing it alternatively. If A has started then followed by B and so on, how many days are needed to complete the whole work?a)8b)7.5c)8.5d)9.5Correct answer is option 'A'. Can you explain this answer?
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