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20 men can complete a piece of work in 15 days and 12 women can complete the same piece of work in 24 days. What is the ratio of amount of work done by 30 men in oneday to the amount of work done by 16 women in 1 day ?
  • a)
    6:7
  • b)
    9:5
  • c)
    7:5
  • d)
    2:7
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
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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Most Upvoted Answer
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 
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Community Answer
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.
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20 men can complete a piece of work in 15 days and 12 women can complete the same piece of work in 24 days. What is the ratio of amount of work done by 30 men in oneday to the amount of work done by 16 women in 1 day ?a)6:7b)9:5c)7:5d)2:7e)None of theseCorrect answer is option 'B'. Can you explain this answer?
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20 men can complete a piece of work in 15 days and 12 women can complete the same piece of work in 24 days. What is the ratio of amount of work done by 30 men in oneday to the amount of work done by 16 women in 1 day ?a)6:7b)9:5c)7:5d)2:7e)None of theseCorrect answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about 20 men can complete a piece of work in 15 days and 12 women can complete the same piece of work in 24 days. What is the ratio of amount of work done by 30 men in oneday to the amount of work done by 16 women in 1 day ?a)6:7b)9:5c)7:5d)2:7e)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 20 men can complete a piece of work in 15 days and 12 women can complete the same piece of work in 24 days. What is the ratio of amount of work done by 30 men in oneday to the amount of work done by 16 women in 1 day ?a)6:7b)9:5c)7:5d)2:7e)None of theseCorrect answer is option 'B'. Can you explain this answer?.
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