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.
Similar Questions
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Important Questions from Work Efficiency
Sumi can complete a job working 5 hours per day in 2 days. If she doubles her working hours per day, then in how many days will she complete the work?
Five men and 2 boys can do in 30 days as much work as 7 men and 10 boys can do in 15 days. How many boys should join 40 men to do the same work in 4 days?
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?
3 men working 7 hours a day can complete a piece of work in 45 days. In how many days will 9 men working 6 hours a day complete the same work?
