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Somesh, Tarun and Nikhil can complete a work separately in 45, 60 and 75 days. They started the work together but Nikhil left after 5 days of start and Somesh left 2 days before the completion of the work. In how many days will the work be completed?
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Somesh, Tarun and Nikhil can complete a work separately in 45, 60 and...
Let the duration in which the will be completed be 't' days.
The portion of work done by Nikhil = 5/75 = 1/15 ( since He worked for 5 days)
Somesh left 2 days early that means Somesh must have worked for 't-2' days
The portion of work done by Somesh = (t − 2) × 1/45
Similarly, the portion of work done by Tarun = t × 1/60
Solving for t
Hence, the correct option is (a).
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