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12 men can complete a work in 8 days. 16 women can complete the same work in 12 days. 8 men and 8 women started working and worked for 6 days. How many more men are to be added to complete the remaining work in 1 day?

Correct Answer: 12

Explanation:

1 man's 1 day work =1/96 ; 1 woman's 1 day work = 1/192

Work done in 6 days= $6 \frac{8}{96} + \frac{8}{192} = 6 \times \frac{1}{8} = \frac{3}{4}$

Remaining work = 1/4

(8 men +8 women)'s 1 day work = $1 \frac{8}{96} + \frac{8}{192}$ =1/8

Remaining work =1/4 - 1/8 = 1/8

1/96 work is done in 1 day by 1 man

Therefore, 1/8 work will be done in 1 day by 96 x (1/8) =12 men

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