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  1. If 3 men or 4 women can plough a field in 43 days, how long will 7 men and 5 women take to plough it ?
    1. 10 days
    2. 11 days
    3. 9 days
    4. 12 days
Correct Option: D

∵ 3 men = 4 women

∴ 1 man =
4
women
3

∴ 7 men =
7 × 4
=
28
women
33

∴ 7 men + 5 women =
28
+ 5
3

=
28 + 15
=
43
women
33

Now, M1D1 = M2 D2
⇒ 4 × 43 =
43
× D2
3

Aliter : Using Rule 12,
Here, A = 3, B = 4, a = 43
A1 = 7 and B1 = 5
Time taken =
a(A × B)
A1B + B1A

=
43 × 12
= 12 days
43



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