24 men can complete a piece of work in 16 days and 18 women can complete the same work in 32 days. 12 men and 6 women work together for 16 days. If the remaining work was to be completed in 2 days, how many additional men would be required besides 12 men and 6 women ?

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answer is B.

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Detailed Solution

Concept: The total amount of work to be done remains constant irrespective of the factor of who is doing the work. Let the work capacities of the male workers and female workers be x and y, we will find the answer.
24 men can complete a work in 16 days
1 man’s 1 days work

12 men’s 1 days of work

18 women can complete the work in 32 days
1 woman’s 1 days work

6 women’s 1 days work =

(12 men’s + 6 women’s) 16 days work

remaining work

(12 men’s + 6 women’s) 2 days of work =

Remaining work

work is done in 1 day by 1 man

work will be done in 2 days by

men = 16 men
Hence, the answer is optio (2) .

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