4 men can check exam papers in 8 days working 5 hours regularly. What are the…

2025

4 men can check exam papers in 8 days working 5 hours regularly. What are the total hours 2 men should work in a day to check the double of the papers in 20 days?

  1. A.

    6

  2. B.

    7

  3. C.

    8

  4. D.

    9

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Show answer & explanation

Correct answer: C

Key idea: total work (in units) is proportional to number of men × days × hours per day (man-hours).

  • Work done in the first case = 4 men × 8 days × 5 hours/day = 160 man-hours.

  • Double the papers requires 2 × 160 = 320 man-hours.

  • Let x be the hours per day for 2 men working 20 days: 2 × 20 × x = 320 ⇒ x = 320 / 40 = 8 hours.

Answer: 8 hours per day.

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