Multiple choice

Ketan appointed some workers which can complete total work in 45 days working 10 hours/day.But 30 workers are absent and remaining workers work only for 9 hours/day complete the work in 62.5 days,. Find the total number of workers Ketan appointed initially.

  1. 120

  2. 150

  3. 175

  4. 125

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

Let initial workers = W. Total work = W × 45 × 10 = 450W man-hours. After 30 workers are absent: (W-30) workers work 9 hours/day for 62.5 days. So (W-30) × 9 × 62.5 = 450W. This gives (W-30) × 562.5 = 450W, or 562.5W - 16875 = 450W. Solving: 112.5W = 16875, so W = 150. The claimed answer B (150) is correct.

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