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8 men can complete a piece of work in 12 days. 4 women can complete the same piece of work in 48 days and 10 children can complete that piece of work inn 24 days. In how many days can 10 men, 4 women and 10 children together complete the work?
  • a)
    12 days
  • b)
    15 days
  • c)
    6 days
  • d)
    8 days
  • e)
    None of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
8 men can complete a piece of work in 12 days. 4 women can complete th...
Option C
 Work done by (8 × 12) men
= (4 × 48) women = (10 × 24) children i.e.
1 man = 2 women = 2.5 children
required number of days 
=
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Most Upvoted Answer
8 men can complete a piece of work in 12 days. 4 women can complete th...
Given,

8 men can complete a piece of work in 12 days.

4 women can complete the same piece of work in 48 days

10 children can complete that piece of work in 24 days.

Let's assume that the total work is 1 unit.

So,

Work done by 8 men in 1 day = 1/96

Work done by 4 women in 1 day = 1/192

Work done by 10 children in 1 day = 1/240

Now, we need to find the number of days taken by 10 men, 4 women, and 10 children to complete the work.

Let the number of days taken be 'd'.

Work done by 10 men in 1 day = (10/8) x (1/12) = 5/24

Work done by 4 women in 1 day = 4 x (1/48) = 1/12

Work done by 10 children in 1 day = 10 x (1/24) = 5/12

Total work done in 1 day by all of them = 5/24 + 1/12 + 5/12 = 1

Therefore, the work will be completed in 'd' days.

Total work = Work done in 1 day x Number of days

1 = (5/24 + 1/12 + 5/12) x d

1 = (5/24 x d) + (1/12 x d) + (5/12 x d)

1 = (15/24 x d)

d = (24/15)

d = 8/5

d = 1.6 days

Therefore, 10 men, 4 women, and 10 children can complete the work in 1.6 days or approximately 6 days (Option C).
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8 men can complete a piece of work in 12 days. 4 women can complete the same piece of work in 48 days and 10 children can complete that piece of work inn 24 days. In how many days can 10 men, 4 women and 10 children together complete the work?a)12 daysb)15 daysc)6 daysd)8 dayse)None of theseCorrect answer is option 'C'. Can you explain this answer?
Question Description
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