Multiple choice

A contractor undertakes to build a wall $1000$ m long in $50$ days . He employes $56$ men , but at the end of $27$ days, he find that only $448$ m of wall is built. How many extra men must the contractor employ so that the wall is completed in time ?

  1. $18$
  2. $13$
  3. $22$
  4. $25$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Work done = 448m in 27 days by 56 men. Rate = 448 / (56 * 27) = 8/27 m per man-day. Remaining work = 1000 - 448 = 552m. Remaining time = 50 - 27 = 23 days. Required men = 552 / (23 * 8/27) = 552 / (184/27) = 552 * 27 / 184 = 3 * 27 = 81 men. Extra men = 81 - 56 = 25.

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