Answered

A man contracts to perform a piece of work in 20 days and
employs 16 men on it immediately. At the
end of 12 days the
work is only half done. What additional
number of men must be
employed to fulfill the contract?



Answer :

GinnyAnswer

Final answer:

To determine the additional number of men needed to fulfill the contract, calculations are done based on the work completed and remaining, resulting in the requirement of 12 additional men to complete the work.


Explanation:

To determine the additional number of men needed to fulfill the contract, we first calculate the work completed per day by the initial 16 men:

  1. 16 men working for 12 days complete 1/2 of the work.
  2. 16 men working for 1 day complete 1/(2*12) of the work.
  3. Therefore, 16 men complete 1/24 of the work in 1 day.

To find out the total work remaining and the additional men needed:

  • Since half the work is done in 12 days, half remains.
  • Thus, the remaining work will require the same number of man-days as the work already done.

Hence, to complete the rest of the work in 8 days:

  • Additional men needed = Total work remaining / Work one man can do in 1 day.
  • Additional men needed = 1/2 / (1/24) = 12 men.

Learn more about Manpower calculation for completing a project here:

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