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  1. 20 men or 24 women can complete a piece of work in 20 days. If 30 men and 12 women undertake to complete the work, the work will be completed in
    1. 10 days
    2. 12 days
    3. 15 days
    4. 16 days
Correct Option: A

20 men ≡ 24 women
⇒ 5 men ≡ 6 women
∴ 30 men + 12 women = 40 men
∴ M1D1 = M2D2
⇒ 20 × 20 = 40 × D2

⇒ D2 =
20 × 20
= 10 days
40

Aliter : Using Rule 12,
Here, A = 20, B = 24, a = 20
A1 = 30, B1 = 12
Required time =
a(A × B)
A1B + B1A

=
20(20 × 24)
30 × 24 + 12 × 20

=
9600
720 + 240

=
9600
= 10 days
960



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