Question

16 men can complete a piece of work in 12 days . 24 children can complete a piece of work in 18 days . If 12 men and 8 children

Answer 1

Let's say 1 man does 1 unit work in a day
Then 16 men in 20 days will do a wotk of 16*1*20 units = 320 units (This is our total work)
8 Men + 5 women completes it in 32 days
Therefore their one day work = total work / time taken
= 320/32 = 10 units in a day
8 men will do 8*1 = 8 units in a day
8 M + 5 W one day work = 10 units
5 women one day work = 10 - 8 (workdone by 8 men in a day)
5 women does 2 units in a day
Or 1 woman does 2/5 units in a day
Now 16 women one day work = 16*2/5 = 32/5 units in a day
Time taken = total work/ one day units
= 320/(32/5) = 320*5/32
= 10*5 = 50 days (Ans)

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