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2 men and 3 women can together complete a piece of work in 4 days and 3 men and 2 women together can complete work in 3 days. In how many days 10 women will complete this work?
- a)9 days
- b)6 days
- c)7 days
- d)12 days
- e)10 days
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
2 men and 3 women can together complete a piece of work in 4 days and ...
2m + 3w = 4, 3m + 2w = 3
So 4(2m + 3w) = 3(3m + 2w)
8m + 12w = 9m + 6w
6w = 1m
Given 2m + 3w = 4, so 2*(6w) + 3w = 4, so 15 women in 4 days, so 10 women in (15*4)/10 = 6 days
So 4(2m + 3w) = 3(3m + 2w)
8m + 12w = 9m + 6w
6w = 1m
Given 2m + 3w = 4, so 2*(6w) + 3w = 4, so 15 women in 4 days, so 10 women in (15*4)/10 = 6 days
Most Upvoted Answer
2 men and 3 women can together complete a piece of work in 4 days and ...
Given:
- 2 men + 3 women complete work in 4 days
- 3 men + 2 women complete work in 3 days
To find:
- time taken by 10 women to complete the same work
Assumption:
Let's assume that 1 man's work in 1 day = m and 1 woman's work in 1 day = w
Solution:
From the given information, we can form the following equations:
- 2m + 3w = 1/4 ---(1)
- 3m + 2w = 1/3 ---(2)
We need to find out how much work 10 women can do in 1 day. Let's assume it to be x.
So, 10w = x ---(3)
Now, we can use equations (1) and (2) to find out the value of m and w.
Solving equations (1) and (2), we get:
m = 1/20 and w = 1/30
Substituting the values of m and w in equation (3), we get:
10w = x
10 * (1/30) = x
x = 1/3
Therefore, 10 women can complete 1/3rd of the work in 1 day.
To complete the entire work, they will take:
= 1 / (1/3 * 10)
= 3 days
Hence, the correct answer is option (B) 6 days.
- 2 men + 3 women complete work in 4 days
- 3 men + 2 women complete work in 3 days
To find:
- time taken by 10 women to complete the same work
Assumption:
Let's assume that 1 man's work in 1 day = m and 1 woman's work in 1 day = w
Solution:
From the given information, we can form the following equations:
- 2m + 3w = 1/4 ---(1)
- 3m + 2w = 1/3 ---(2)
We need to find out how much work 10 women can do in 1 day. Let's assume it to be x.
So, 10w = x ---(3)
Now, we can use equations (1) and (2) to find out the value of m and w.
Solving equations (1) and (2), we get:
m = 1/20 and w = 1/30
Substituting the values of m and w in equation (3), we get:
10w = x
10 * (1/30) = x
x = 1/3
Therefore, 10 women can complete 1/3rd of the work in 1 day.
To complete the entire work, they will take:
= 1 / (1/3 * 10)
= 3 days
Hence, the correct answer is option (B) 6 days.
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Community Answer
2 men and 3 women can together complete a piece of work in 4 days and ...
2m + 3w = 4, 3m + 2w = 3
So 4(2m + 3w) = 3(3m + 2w)
8m + 12w = 9m + 6w
6w = 1m
Given 2m + 3w = 4, so 2*(6w) + 3w = 4, so 15 women in 4 days, so 10 women in (15*4)/10 = 6 days
So 4(2m + 3w) = 3(3m + 2w)
8m + 12w = 9m + 6w
6w = 1m
Given 2m + 3w = 4, so 2*(6w) + 3w = 4, so 15 women in 4 days, so 10 women in (15*4)/10 = 6 days
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2 men and 3 women can together complete a piece of work in 4 days and 3 men and 2 women together can complete work in 3 days. In how many days 10 women will complete this work?a)9 daysb)6 daysc)7 daysd)12 dayse)10 daysCorrect answer is option 'B'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about 2 men and 3 women can together complete a piece of work in 4 days and 3 men and 2 women together can complete work in 3 days. In how many days 10 women will complete this work?a)9 daysb)6 daysc)7 daysd)12 dayse)10 daysCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 2 men and 3 women can together complete a piece of work in 4 days and 3 men and 2 women together can complete work in 3 days. In how many days 10 women will complete this work?a)9 daysb)6 daysc)7 daysd)12 dayse)10 daysCorrect answer is option 'B'. Can you explain this answer?.
2 men and 3 women can together complete a piece of work in 4 days and 3 men and 2 women together can complete work in 3 days. In how many days 10 women will complete this work?a)9 daysb)6 daysc)7 daysd)12 dayse)10 daysCorrect answer is option 'B'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about 2 men and 3 women can together complete a piece of work in 4 days and 3 men and 2 women together can complete work in 3 days. In how many days 10 women will complete this work?a)9 daysb)6 daysc)7 daysd)12 dayse)10 daysCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 2 men and 3 women can together complete a piece of work in 4 days and 3 men and 2 women together can complete work in 3 days. In how many days 10 women will complete this work?a)9 daysb)6 daysc)7 daysd)12 dayse)10 daysCorrect answer is option 'B'. Can you explain this answer?.
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