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Question

A particular work can be completed by 6 men and 6 women in 24 days, whereas the same work can be completed by 8 men and 12 women in 15 days. Find the time taken by 4 men and 6 women to complete the same work .
  1. 20 days
  2. 30 days
  3. 40 days
  4. 50 days

A
20 days
B
30 days
C
50 days
D
40 days
Solution
Verified by Toppr

From the question, we have
(6 men and 6 women) 1 day work =124

(12 men and 12 women)1 day work=112 ... (1)

(8 men and 12 women)1 day work=115 ... (2)
Subtracting (1) and (2), we get
4 men work =112 115=160

2 men work =1120

4 men and 6 women work =1 day work of 6 men and 6 women 1 day work of 2 men.
=124 1120=4120 =130

The time taken by 4 men and 6 women to complete the same work =30 days.

Hence, option B.

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