Multiple Choice Questions

If 5 men or 8 women can do a piece of work in 12 days how many days will be taken by 2 men and 4 wom...........

Quantitative Aptitude (CCS) Time and work

If 5 men or 8 women can do a piece of work in 12 days, how many days will be taken by 2 men and 4 women to do the same work?

15 days

13 1/2 days

8/3 days

10 days

FOR MEN -

3 men complete work in 16 days

So 3 men one day work= 1/16

1 men one day work = 1/16×3

FOR WOMEN

4 women complete work in 16 days

So 4 women one day work= 1/16

1 women one day work = 1/16×4

Now we have to find when both (12 Men & 8 Women) are working together

So 12 Men one day work = 12 × (one day work of one man)

=12 × (1 / 16×13) =1/4

So 8 Women one day work = 8 × (one day work of one woman)

= 8 × (1 / 16×4) =1/8

Adding one day of (12 Men) & (8 Women)

= (1/4) + (1/8) = 3/8

This means 12 Men and 8 Women does 3/8 fraction of work in one day

Thus they would complete the work in 8/3 days.

Hence, option 3 is the correct answer.

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