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4 men can complete a piece of work in 2 days. 4 women can complete the same piece of work in 4 days whereas 5 children can complete the same piece of work in 4 days. If 2 men, 4 women and 10 children work together, in how many days can the work be completed?
  • a)
    1 day
  • b)
    3 days 
  • c)
    2 days
  • d)
    4 days 
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
4 men can complete a piece of work in 2 days. 4 women can complete the...
2 men can do a piece of work in 4 days 4 women can do same piece of work in 4 days 5 children can do same piece of work in 4 days
So, we can say that 2m = 4w =5c
So , 2men and 4 women and 10 children complete the work
Efficiency of children and women convert in man = (2m + 2m +4m) = 8m
4 men complete the work is = 2 days
8 men complete the work is = 1 days
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Most Upvoted Answer
4 men can complete a piece of work in 2 days. 4 women can complete the...
Given:
4 men can complete a work in 2 days
4 women can complete a work in 4 days
5 children can complete a work in 4 days
We need to find out how many days will it take for 2 men, 4 women and 10 children to complete the work.

Solution:
Let's assume the total work to be done is 1 unit.
From the given information, we can find out the following:
- 4 men can complete 1 unit of work in 2 days. So, 1 man can complete 1/8 units of work in 1 day.
- 4 women can complete 1 unit of work in 4 days. So, 1 woman can complete 1/16 units of work in 1 day.
- 5 children can complete 1 unit of work in 4 days. So, 1 child can complete 1/20 units of work in 1 day.

Now, let's find out how much work can be done in 1 day by 2 men, 4 women and 10 children.
2 men can complete 2/8 = 1/4 units of work in 1 day.
4 women can complete 4/16 = 1/4 units of work in 1 day.
10 children can complete 10/20 = 1/2 units of work in 1 day.

So, the total work done in 1 day by 2 men, 4 women and 10 children = 1/4 + 1/4 + 1/2 = 1 unit.

Therefore, the work will be completed in 1 day if 2 men, 4 women and 10 children work together.

Hence, the correct answer is option A.
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4 men can complete a piece of work in 2 days. 4 women can complete the same piece of work in 4 days whereas 5 children can complete the same piece of work in 4 days. If 2 men, 4 women and 10 children work together, in how many days can the work be completed?a)1 dayb)3 daysc)2 daysd)4 daysCorrect answer is option 'A'. Can you explain this answer?
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