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20 women can complete a work in 15 days. 16 men can complete the same work in 15 days. Find the ratio between the work efficiency of a men to a women.
Question

20 women can complete a work in 15 days. 16 men can complete the same work in 15 days. Find the ratio between the work efficiency of a men to a women.

A.

5 : 3

B.

3 : 2

C.

4 : 3

D.

5 : 4

Correct option is D

Given:

20 women can complete the work in 15 days

16 men can complete the work in 15 days

Formula Used:

Work done = Number of workers ×\times​ Time

Solution:

Let the efficiency of a man and a woman be M and W respectively.

According to the question,

Total work;

16M×15=20W×15 16M \times 15 = 20W \times 15​​

16M=20W4M=5WMW=54=5:416M=20W \\4M =5W \\\frac{M}{W} =\frac{5}{4} = 5:4 

Thus, the ratio of efficiency of the man and woman is 5 : 4

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