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  1. One man or two women or three boys can do a piece of work in 88 days. One man, one woman and one boy will do it in
    1. 44 days
    2. 24 days
    3. 48 days
    4. 20 days
Correct Option: C

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

=3 +
3
+ 1 boys
2

=
6 + 3 + 2
boys
2

=
11
boys
2

∴ M1D1 = M2D2
⇒ 3 × 8 =
11
× D2
2

⇒ D2 =
3 × 2 × 88
= 48 days
11

Aliter : Using Rule 13,
Here, A = 1, B = 2, C = 3, a= 88
A1 = 1, B1 = 1, C1 = 1
Required time
=
a
A1
+
B1
+
C1
ABC

=
88
1
+
1
+
1
123

=
88
= 48 days
6 + 3 + 2
6



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