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Six clerks can complete a piece of work in 15 hours. After working for 5 hours, 3 more clerks join them with the same efficiency. How much total time will be required to complete the work?
  1. 11 hours 40 minutes
  2. 11 hours 50 minutes
  3. 11 hours 20 minutes
  4. None of these
Explanation

Total work = 6 clerks _ 15 hours = 90 clerk-hours

Work done in first 5 hours = 6 _ 5 = 30 clerk-hours

Remaining work = 90 - 30 = 60 clerk-hours

Now total clerks = 6 + 3 = 9 clerks

Time to finish remaining work = 60 / 9 = 6.66 hours = 6 hours 40 minutes

Total time required = 5 hours + 6 hours 40 minutes = 11 hours 40 minutes


Last verified on 24-10-2026

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