Question

$$24$$ men can complete a work in $$16$$ days, $$32$$ women can complete the same work in $$24$$ days. $$16$$ men and $$16$$ women started working and worked for $$12$$ days. How many more men are to be added to complete the remaining work in $$2$$ days?

A
16
B
24
C
36
D
48

Solution

The correct option is C $$24$$24 men can complete the work in 16 days1 man can complete the work in $$=16\times 24=384 Days$$ 32 women cam complete the work in 24 days1 woman can complete the work in a$$=32\times 24=768 days$$Ratio between man and woman$$=384:768=1:2$$then 1 man =2 womenThe work is done br 16 men and 16 women in 12 days16 women=8 menthus the number of men complete the work in 12 days=$$16+8=24 men$$Since 24 men takes 16 days to complete the workSo after 12 days,4 days work will be left for 24 MenThus the work left can be completed in 2 days by$$=24\times \dfrac{4}{2}=48 Days$$Additional men required to complete the work in 2 days$$=48-24=24 men$$Mathematics

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