Work and Time

Correct Answer : Option a

We are given that 10 men and 6 women complete 36 units of work in 4 days, so their daily work rate is 36/4 = 9 units.

Similarly, 6 men and 4 women complete 44 units in 8 days,

giving a daily rate of 44/8 = 5.5units.

Let 1 man's daily rate be M, and 1 woman's daily rate be W. Then:

1. 10M + 6W = 9

2. 6M + 4W = 5.5

Multiplying (1) by 2: 20M+12W = 18
Multiplying (2) by 3: 18M + 12W = 16.5

On solving,

M = 0.75

W = 0.25

Now, to complete 104 units in 6 days, the required daily work is 104/6 ≈ 17.33

With 42 women: 42 × 0.25 = 10.542 units/day
Remaining = 17.33 − 10.5 = 6.83 units/day
Men needed = 6.83/0.75 ≈ 9.11, so at least 10 men are required.

So, option a is correct.

Kutos: CSAT Expert

Hello! I am a CSAT expert. You can ask any question or request a detailed analysis related to this topic.