5men and 8women can finish a work in 6 day s but 8men and 10 women can finish it in 4days .how many days will men and 20 women take to finish the work??
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Explanation:
Let's assume
One Man does X amount of work per day and One woman does Y amount of work per day
Therefore, 5 Men in 6 days do 30 X work
Similarly, 8 women in 6 days do 48 Y work
Put together, they do 30X + 48Y work in 6 days
It also equates the work done by 4 women in 42 days which is actually 168Y
30X + 48Y = 168Y
30X = 120Y
1 X = 4 Y
Hence, the efficiency of a man is 4 times that of a woman.
If 4 women need 42 days to do the said job, one man will need 42 days to complete the same work
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