Multiple choice

A work is assigned to some workers of a factory. If they start work on Tuesday and work continuously on every day of week the work lasts on Friday of same week. But when 5 workers left the group on every working day the work will complete on Monday of next week. How many workers were at the beginning?

  1. 40

  2. 35

  3. 30

  4. 70

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

Let initial workers = x. Work takes 4 days normally, so total work = x + (x-5) + (x-10) + (x-15) = 4x - 30. With attrition, takes 7 days: sum from first term to (x-30) = 7x - 105. Equating: 7x - 105 = 4(4x - 30). Solving gives x = 35.

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