20 men can complete a piece of work in 15 days and 12 women can comple...
M : W = 30/20*15 : 16/12*24
= 1/10 : 1/ 18 = 1/5:1/9
Ratio = 9:5
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20 men can complete a piece of work in 15 days and 12 women can comple...
20 men do 1 work in 15 days
Time taken by 30 men :-
=> (15 * 20)/30
=> 10 days
12 women do work in 24 days
Time taken by 16 women:-
=> (12 * 24) / 16
=> 18 days
Ratio => 1/10: 1/18
=> 18 / 10
=> 9:5
20 men can complete a piece of work in 15 days and 12 women can comple...
Given information:
- 20 men can complete a piece of work in 15 days
- 12 women can complete the same piece of work in 24 days
Let's first calculate the work done by 1 man in 1 day and the work done by 1 woman in 1 day.
Work done by 20 men in 1 day:
If 20 men can complete the work in 15 days, then in 1 day, they will complete 1/15th of the work.
So, the work done by 1 man in 1 day = 1/15 * 1/20 = 1/300
Work done by 12 women in 1 day:
If 12 women can complete the work in 24 days, then in 1 day, they will complete 1/24th of the work.
So, the work done by 1 woman in 1 day = 1/24 * 1/12 = 1/288
Next, we need to find the ratio of the work done by 30 men in 1 day to the work done by 16 women in 1 day.
Work done by 30 men in 1 day:
Since the work done by 1 man in 1 day is 1/300, the work done by 30 men in 1 day will be 30 * 1/300 = 1/10
Work done by 16 women in 1 day:
Since the work done by 1 woman in 1 day is 1/288, the work done by 16 women in 1 day will be 16 * 1/288 = 2/9
Therefore, the ratio of the work done by 30 men in 1 day to the work done by 16 women in 1 day is 1/10 : 2/9, which simplifies to 9/5.
So, the correct answer is option B) 9:5.