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  1. If 5 men or 8 women can do a piece of work in 12 days, how many days will be taken by 2 men and 4 women to do the same work?
    1. 15 days
    2. 13
      1
      days
      2
    3. 13
      1
      days
      3
    4. 10 days
Correct Option: C

According to the question
5 men = 8 women

∴ 2 men =
8
× 2 =
16
women
55

∴ Total women =
16
+ 4 =
36
women
55

∴ No. of days to do the same work
=
8 × 12
=
8 × 12 × 5
36/536

=
40
= 13
1
days
33

Aliter : Using Rule 12,
Here, A = 5, B = 8, a = 12
A1 = 2 and B1 = 4
Time taken =
a(A × B)
A1B + B1A

=
12(5 × 8)
2 × 8 + 4 × 5

=
12 × 40
36

= 33
1
days
3



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