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  1. If 1 man or 2 women or 3 boys can do a piece of work in 44 days, then the same piece of work will be done by 1 man, 1 woman and 1 boy in
    1. 21 days
    2. 24 days
    3. 26 days
    4. 33 days
Correct Option: B

1 man ≡ 2 women ≡ 3 boys
∴ 1 man + 1 woman + 1 boy

≡ 3 boys +
3
boys + 1 boy
2

=3 +
3
+ 1 boys
2

=
11
boys
2

∴ By M1 D1 = M2 D2
3 × 44 =
11
× D2
2

⇒ D2 =
2 × 3 × 44
= 24 days
11

Aliter : Using Rule 13,
Here, A = 1, B= 2, C = 3, a = 44
A1 = 1, B1 = 1, C1 = 1
Required time
=
a
A1
+
B1
+
C1
ABC

=
44
1
+
1
+
1
123

=
44 × 6
= 24 days
11



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