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  1. 45 men can complete a work in 16 days. Four days after they started working, 36 more men joined them. How many days will they now take to complete the remaining work ?
    1. 6 days
    2. 8 days
    3. 6
      2
      days
      3
    4. 7
      3
      days
      4
Correct Option: C

45 men’s 4 days’ work =
1
4

Remaining work
= 1 -
1
=
3
44

M1D1
=
M2D2
W1W2

45 × 16
=
81 × D2
13/4

⇒ D2 =
45 × 16
= 6
2
days
27 × 43

Aliter : Using Rule 10,
Here, A = 45, a = 16
b = 4, B = 36
Required days
=
A(a - b)
days
(A + B)

=
45(16 - 4)
(45 + 36)

=
45 × 12
81

=
20
= 6
2
days
33



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