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If 2 men and 3 women can do a piece of work in 8 days and 3 men and 2 women in 7 days. In how many days can the work be done by 5 men and 4 women working together?
- a)4 days
- b)5 days
- c)10 days
- d)15 days
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
If 2 men and 3 women can do a piece of work in 8 days and 3 men and 2...
|2 x 8 - 3 x 7| men’s work = |3x 8 - 2 x 7| women’s work.
∴ 5 men’s work = 10 women’s work
∴ 1 men’s work = 2 women’s work
2 men’s work = 4 women’s work
∴ Days taken by 5 men + 4 women = 14 women are 7x8/14 = 4 days
Most Upvoted Answer
If 2 men and 3 women can do a piece of work in 8 days and 3 men and 2...
Given Information:
- 2 men and 3 women can do a piece of work in 8 days
- 3 men and 2 women can do a piece of work in 7 days
To find:
- Number of days required for 5 men and 4 women to complete the work
Let's assume that the work done by 1 man in 1 day is M and the work done by 1 woman in 1 day is W.
Calculation:
From the given information, we can form the following equations:
Equation 1: (2M + 3W) * 8 = 1 (work done by 2 men and 3 women in 8 days)
Equation 2: (3M + 2W) * 7 = 1 (work done by 3 men and 2 women in 7 days)
Simplifying the equations:
Equation 1: 16M + 24W = 1
Equation 2: 21M + 14W = 1
Now, let's solve these equations to find the values of M and W.
Multiplying Equation 1 by 21 and Equation 2 by 16, we get:
336M + 504W = 21
336M + 224W = 16
Subtracting Equation 2 from Equation 1, we get:
280W = 5
Therefore, the work done by 1 woman in 1 day is 1/280.
Substituting this value in Equation 2, we can find the work done by 1 man in 1 day:
21M + 14(1/280) = 1
21M + 14/280 = 1
21M = 1 - 14/280
21M = 266/280
M = (266/280) * (1/21)
M = 1/20
Now, we know the work done by 1 man in 1 day is 1/20 and the work done by 1 woman in 1 day is 1/280.
Let's find the total work done by 5 men and 4 women in 1 day:
(5 * 1/20) + (4 * 1/280) = 5/20 + 4/280 = 1/4
Therefore, the work done by 5 men and 4 women in 1 day is 1/4.
To find the number of days required for them to complete the work, we can divide the total work by the work done in 1 day:
1 / (1/4) = 4
Hence, the work can be done by 5 men and 4 women together in 4 days. Therefore, option A is the correct answer.
- 2 men and 3 women can do a piece of work in 8 days
- 3 men and 2 women can do a piece of work in 7 days
To find:
- Number of days required for 5 men and 4 women to complete the work
Let's assume that the work done by 1 man in 1 day is M and the work done by 1 woman in 1 day is W.
Calculation:
From the given information, we can form the following equations:
Equation 1: (2M + 3W) * 8 = 1 (work done by 2 men and 3 women in 8 days)
Equation 2: (3M + 2W) * 7 = 1 (work done by 3 men and 2 women in 7 days)
Simplifying the equations:
Equation 1: 16M + 24W = 1
Equation 2: 21M + 14W = 1
Now, let's solve these equations to find the values of M and W.
Multiplying Equation 1 by 21 and Equation 2 by 16, we get:
336M + 504W = 21
336M + 224W = 16
Subtracting Equation 2 from Equation 1, we get:
280W = 5
Therefore, the work done by 1 woman in 1 day is 1/280.
Substituting this value in Equation 2, we can find the work done by 1 man in 1 day:
21M + 14(1/280) = 1
21M + 14/280 = 1
21M = 1 - 14/280
21M = 266/280
M = (266/280) * (1/21)
M = 1/20
Now, we know the work done by 1 man in 1 day is 1/20 and the work done by 1 woman in 1 day is 1/280.
Let's find the total work done by 5 men and 4 women in 1 day:
(5 * 1/20) + (4 * 1/280) = 5/20 + 4/280 = 1/4
Therefore, the work done by 5 men and 4 women in 1 day is 1/4.
To find the number of days required for them to complete the work, we can divide the total work by the work done in 1 day:
1 / (1/4) = 4
Hence, the work can be done by 5 men and 4 women together in 4 days. Therefore, option A is the correct answer.
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If 2 men and 3 women can do a piece of work in 8 days and 3 men and 2 women in 7 days. In how many days can the work be done by 5 men and 4 women working together?a)4 daysb)5 daysc)10 daysd)15 daysCorrect answer is option 'A'. Can you explain this answer?
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If 2 men and 3 women can do a piece of work in 8 days and 3 men and 2 women in 7 days. In how many days can the work be done by 5 men and 4 women working together?a)4 daysb)5 daysc)10 daysd)15 daysCorrect answer is option 'A'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about If 2 men and 3 women can do a piece of work in 8 days and 3 men and 2 women in 7 days. In how many days can the work be done by 5 men and 4 women working together?a)4 daysb)5 daysc)10 daysd)15 daysCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 2 men and 3 women can do a piece of work in 8 days and 3 men and 2 women in 7 days. In how many days can the work be done by 5 men and 4 women working together?a)4 daysb)5 daysc)10 daysd)15 daysCorrect answer is option 'A'. Can you explain this answer?.
If 2 men and 3 women can do a piece of work in 8 days and 3 men and 2 women in 7 days. In how many days can the work be done by 5 men and 4 women working together?a)4 daysb)5 daysc)10 daysd)15 daysCorrect answer is option 'A'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about If 2 men and 3 women can do a piece of work in 8 days and 3 men and 2 women in 7 days. In how many days can the work be done by 5 men and 4 women working together?a)4 daysb)5 daysc)10 daysd)15 daysCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 2 men and 3 women can do a piece of work in 8 days and 3 men and 2 women in 7 days. In how many days can the work be done by 5 men and 4 women working together?a)4 daysb)5 daysc)10 daysd)15 daysCorrect answer is option 'A'. Can you explain this answer?.
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