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  1. If 3 men or 6 women can do a piece of work in 16 days, in how many days can 12 men and 8 women do the same piece of work?
    1. 4 days
    2. 5 days
    3. 3 days
    4. 2 days
Correct Option: C

3m = 6w
∴ 1m = 2w
12m + 8w = (12 × 2w) + 8w = 32w
∴ 6 women can do the work in 16 days.
∴ 32 women can do the work in

16 × 6
= 3 days
32

Aliter : Using Rule 12,
Here, A = 3, B = 6, a = 16
A1 = 12, B1 = 8
Time taken =
a(A × B)
A1B1 + B1A

=
16(3 × 6)
12 × 6 + 8 × 3

=
16 × 18
= 3 days
96



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