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2 men and 4 women can complete a job in 5 days. Also same job can be completed by 3 men and 8 women in 3 days. In how many days, twice the job can be completed by 3 men and 3 women?
- a)4
- b)8
- c)10
- d)8.5
- e)13
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
2 men and 4 women can complete a job in 5 days. Also same job can be c...
B) 8
Explanation: 2m + 4w = 5D, so 10m + 20w = 1D 3m + 8w = 3D, so 9m + 24w = 1D So, 10m + 20w = 9m + 24w Solve, 1m = 4w From 1st equation(2m + 4w = 5D), 2*4w + 4w = 5D, or 12 women can do in 5 days, so 1 women in 12*5 = 60 days.
Now 3m+3w = 3*4w + 3w = 15 w 1 women in 60 days, so 15 women in 60/15 = 4 days But we are required to find twice work, so 15 women 1 work in 4 days so twice work in 8 days
Explanation: 2m + 4w = 5D, so 10m + 20w = 1D 3m + 8w = 3D, so 9m + 24w = 1D So, 10m + 20w = 9m + 24w Solve, 1m = 4w From 1st equation(2m + 4w = 5D), 2*4w + 4w = 5D, or 12 women can do in 5 days, so 1 women in 12*5 = 60 days.
Now 3m+3w = 3*4w + 3w = 15 w 1 women in 60 days, so 15 women in 60/15 = 4 days But we are required to find twice work, so 15 women 1 work in 4 days so twice work in 8 days
Most Upvoted Answer
2 men and 4 women can complete a job in 5 days. Also same job can be c...
Given information:
- 2 men + 4 women complete a job in 5 days
- 3 men + 8 women complete the same job in 3 days
To find:
- In how many days, twice the job can be completed by 3 men and 3 women?
Approach:
Let's first calculate the efficiency of each person per day based on the given information. Efficiency is calculated as the fraction of the job completed by a person in one day.
For the first case:
- 2 men + 4 women complete the job in 5 days
- Total number of people = 2 + 4 = 6
- Total number of days = 5
- Efficiency of each person per day = 1 / (6 x 5) = 1/30
For the second case:
- 3 men + 8 women complete the job in 3 days
- Total number of people = 3 + 8 = 11
- Total number of days = 3
- Efficiency of each person per day = 1 / (11 x 3) = 1/33
Now, let's assume that twice the job can be completed in 'd' days by 3 men and 3 women. We need to find the value of 'd'.
Let's calculate the total efficiency of 3 men and 3 women per day:
- Total number of people = 3 + 3 = 6
- Efficiency of each person per day = 1 / (6 x d) = 1/6d
- Total efficiency of 3 men and 3 women per day = (3/6d) + (3/6d) = 1/2d
Now, we can equate the total efficiency of 3 men and 3 women per day to the efficiency calculated in the first case (since we need to complete twice the job):
- 1/2d = 1/30
- Solving for 'd', we get d = 60/2 = 30
Therefore, twice the job can be completed by 3 men and 3 women in 30 days.
Answer:
Option B) 8
- 2 men + 4 women complete a job in 5 days
- 3 men + 8 women complete the same job in 3 days
To find:
- In how many days, twice the job can be completed by 3 men and 3 women?
Approach:
Let's first calculate the efficiency of each person per day based on the given information. Efficiency is calculated as the fraction of the job completed by a person in one day.
For the first case:
- 2 men + 4 women complete the job in 5 days
- Total number of people = 2 + 4 = 6
- Total number of days = 5
- Efficiency of each person per day = 1 / (6 x 5) = 1/30
For the second case:
- 3 men + 8 women complete the job in 3 days
- Total number of people = 3 + 8 = 11
- Total number of days = 3
- Efficiency of each person per day = 1 / (11 x 3) = 1/33
Now, let's assume that twice the job can be completed in 'd' days by 3 men and 3 women. We need to find the value of 'd'.
Let's calculate the total efficiency of 3 men and 3 women per day:
- Total number of people = 3 + 3 = 6
- Efficiency of each person per day = 1 / (6 x d) = 1/6d
- Total efficiency of 3 men and 3 women per day = (3/6d) + (3/6d) = 1/2d
Now, we can equate the total efficiency of 3 men and 3 women per day to the efficiency calculated in the first case (since we need to complete twice the job):
- 1/2d = 1/30
- Solving for 'd', we get d = 60/2 = 30
Therefore, twice the job can be completed by 3 men and 3 women in 30 days.
Answer:
Option B) 8
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2 men and 4 women can complete a job in 5 days. Also same job can be completed by 3 men and 8 women in 3 days. In how many days, twice the job can be completed by 3 men and 3 women?a)4b)8c)10d)8.5e)13Correct answer is option 'B'. Can you explain this answer?
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2 men and 4 women can complete a job in 5 days. Also same job can be completed by 3 men and 8 women in 3 days. In how many days, twice the job can be completed by 3 men and 3 women?a)4b)8c)10d)8.5e)13Correct 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 2 men and 4 women can complete a job in 5 days. Also same job can be completed by 3 men and 8 women in 3 days. In how many days, twice the job can be completed by 3 men and 3 women?a)4b)8c)10d)8.5e)13Correct 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 2 men and 4 women can complete a job in 5 days. Also same job can be completed by 3 men and 8 women in 3 days. In how many days, twice the job can be completed by 3 men and 3 women?a)4b)8c)10d)8.5e)13Correct answer is option 'B'. Can you explain this answer?.
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