Multiple choice

Choose the correct answer from the alternatives given. A contractor took a contract for building $12$ kilometre road in $15$ days and employed $100$ labours on the work. After $9$ days he found that only $5$ kilometre road had been constructed. How many more labours should be employed to ensure that the work may be completed with in the given time?

  1. $120$
  2. $90$
  3. $110$
  4. $100$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Work done = 5km in 9 days with 100 men. Remaining work = 7km in 6 days. Using M1D1/W1 = M2D2/W2: (100 * 9) / 5 = (M2 * 6) / 7. 180 = (M2 * 6) / 7, so M2 = 210. Additional men = 210 - 100 = 110.

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