Multiple choice

$40$ men can complete a work in $40$ days. They started working together. But $5$ men kept on leaving the job every $10th$ day. In how many days work will be completed ?

  1. $45$ days
  2. $50$ days
  3. $55.5$ days
  4. $56.66$ days

  5. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Work = 40 * 40 = 1600 man-days. Days 1-10: 40 men * 10 days = 400. Days 11-20: 35 men * 10 days = 350. Days 21-30: 30 men * 10 days = 300. Days 31-40: 25 men * 10 days = 250. Days 41-50: 20 men * 10 days = 200. Total so far = 1500. Remaining work = 100. Days 51 onwards: 15 men. 100/15 = 6.66 days. Total = 50 + 6.66 = 56.66.

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