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2 men and 3 women can do a piece of work in 10 days while 3 men and 2 women can do the same work in 8 days. In how many days can 2 men and 1 woman do the work?
  • a)
    10(2/5)days
  • b)
    12(1/5)days
  • c)
    12(1/2)days
  • d)
    11(2/3)days
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
2 men and 3 women can do a piece of work in 10 days while 3 men and 2...
Let 1 man's 1 day work = x and 1 woman's 1 day work = y.
Then,
2x + 3y = 1/10 and 3x + 2y = 1/8
Solving, we get:
X = 7/200 and y = 1/100
Therefore, (2 men and 1 woman)'s 1 day's work = (2 * (7/200) + 1 * (1/100)) = 16/200 = 2/25
Therefore, (2 men and 1 woman) do the work in 25/2 days.
Hence, option c is correct.
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Most Upvoted Answer
2 men and 3 women can do a piece of work in 10 days while 3 men and 2...
To solve this problem, we can use the concept of work done per day and solve using simultaneous equations. Let's assume that the work done by a man in one day is M and the work done by a woman in one day is W.

1. Given that 2 men and 3 women can do the work in 10 days:
- Work done by 2 men in 10 days = 2M * 10 = 20M
- Work done by 3 women in 10 days = 3W * 10 = 30W
- Total work done = 20M + 30W

2. Given that 3 men and 2 women can do the work in 8 days:
- Work done by 3 men in 8 days = 3M * 8 = 24M
- Work done by 2 women in 8 days = 2W * 8 = 16W
- Total work done = 24M + 16W

Since both expressions represent the same work, we can equate them:
20M + 30W = 24M + 16W

Simplifying the equation:
10W = 4M
W = (2/5)M

Now, we can substitute this value of W in one of the equations to find the value of M:
20M + 30(2/5)M = 24M + 16(2/5)M
20M + 12M = 24M + 6.4M
32M = 30.4M
1.6M = 0
M = 0

This means that the work done by a man in one day is 0. However, this is not possible, so there must be an error in the given information or the question itself.

Therefore, it is not possible to accurately determine the number of days required for 2 men and 1 woman to complete the work based on the given information.
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2 men and 3 women can do a piece of work in 10 days while 3 men and 2 women can do the same work in 8 days. In how many days can 2 men and 1 woman do the work?a)10(2/5)daysb)12(1/5)daysc)12(1/2)daysd)11(2/3)daysCorrect answer is option 'C'. Can you explain this answer?
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