20 women can do work in 16 days. 10 men can complete the same work in 12 days. What is the ratio between the efficiency of a man and a woman?
8:3
The total work can be measured in units using either group: 20 women working for 16 days give \(20 \times 16 = 320\) woman-days of work.
Similarly, 10 men working for 12 days give \(10 \times 12 = 120\) man-days of work.
Since both equal the same total work, \(320 \times (\text{1 woman's work}) = 120 \times (\text{1 man's work})\).
So the ratio of a man's efficiency to a woman's efficiency is \(\frac{320}{120} = \frac{8}{3}\).
Hence, the answer is 8:3.
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Important Questions from Work Efficiency
A man completes 7/8 of a job in 21 days. How many more days will it take him to finish the job if quantum of work further increased by 50%?
24 men and 12 women can do a piece of work in 30 days. In how many days can 12 men and 24 women do the same piece of work?
A and B together can do a piece of work in 4 days, B and C can do it in 6 days, A and C can do it in 8 days. Then A, B and C together can do the same work in :-
A can complete 50% of a work in 9 days and B can do 25% of the work in 9 days, if they work alone. If they work together then how much work (in percentage) can be completed in 6 days?
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