Multiple choice

Two persons working 2 hours a day assemble 2 machines in 2 days. The number of machines assembled by 6 persons working 6 hours a day in 6 days is -

  1. 6

  2. 17

  3. 27

  4. 54

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

This is a direct proportion problem: more persons × more hours × more days = more machines. Initial rate: 2 persons × 2 hours × 2 days = 2 machines, so rate = 2/(2×2×2) = 1/4 machine per person-hour-day. New scenario: 6 × 6 × 6 × (1/4) = 216/4 = 54 machines. Alternatively, scaling each factor by 3 gives 3×3×3 = 27 times the output, so 2 × 27 = 54.