Multiple choice

The ratio of the efficiency of a man to a woman is 4 : 3. A group of 2 men and 2 women together can complete a piece of work in 11 days. Quantity I : How many days, a group of a man and three women will take to complete the same piece of work? Quantity II : if the efficiency of a men was increased by 25% and the efficiency of a women was increased by 50% then how many days they will take to complete 75% of the piece of work if they work together?

  1. Quantity I > Quantity II

  2. Quantity I ≥ Quantity II

  3. Quantity I < Quantity II

  4. Quantity II ≥ Quantity I

  5. Quantity I = Quantity II or relation can't be established
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total work = (2 men × 4 + 2 women × 3) × 11 = 154 units. Quantity I: 1 man + 3 women work at 4 + 9 = 13 units/day, taking 154/13 ≈ 11.85 days. Quantity II: After increase, man = 5, woman = 4.5 units/day, working together at 9.5 units/day to complete 75% of work (115.5 units), taking 115.5/9.5 ≈ 12.16 days. Since 11.85 < 12.16, Quantity I is less than Quantity II.

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