10 men, 10 women and 10 children, to finish some work, takes 10, 20 and 30 days, respectively. Then in how many days will 5 men, 5 women and 5 children, finish the same work?
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10 men take 10 days so 1 man will take 100 days
Likewise 1 woman will take 200 days
And 1 child will take 300 days for the same work
Efficiency Ratio of Man:Woman:Child (LCM-600)
=6:3:2
In 1 day 1 man produces 6 units. So 5 men will produce 30 units.
In 1 day 1 woman produces 3 units. So 5 women will produce 15 units.
Similarly 1 child produces 2 units , so 5 children will produce 10 units.
In a day 5M+5W+5C can produce 55 units. Total units being 600 they will require 600/55=120/11 or 10.9 or approximately 11 days to complete the work.
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