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10 men can complete a work in 8 days. 20 women can complete the same work in 6 days. In how many days 16 men and 18 women can complete the same work, working together ?
  • a)
    19/7
  • b)
    20/7
  • c)
    24/7
  • d)
    17/7
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
10 men can complete a work in 8 days. 20 women can complete the same ...
10m → 8 days ⇒ 20m → 4 days ⇒ 1m → 80 days
20w → 6 days ⇒ 20w → 6 days ⇒ 1w → 120 days
ஃ 2m = 3w
Thus. 16m + 18w = 24\v + 18w = 42w
20w x 6 = 42w w x x
(Where x is the number of days taken by 42 women)
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Most Upvoted Answer
10 men can complete a work in 8 days. 20 women can complete the same ...
Given information:
- 10 men can complete a work in 8 days.
- 20 women can complete the same work in 6 days.

We need to find out how many days it will take for 16 men and 18 women to complete the same work working together.

Let's calculate the work done by each man per day:
- If 10 men can complete the work in 8 days, then each man can complete 1/80th of the work per day (since 10 men complete the work in 8 days, the total work done is 10 * 8 = 80 units of work).

Similarly, let's calculate the work done by each woman per day:
- If 20 women can complete the work in 6 days, then each woman can complete 1/120th of the work per day (since 20 women complete the work in 6 days, the total work done is 20 * 6 = 120 units of work).

Now, let's calculate the work done by 16 men and 18 women working together in one day:
- The work done by 16 men in one day = 16 * (1/80) = 1/5th of the work.
- The work done by 18 women in one day = 18 * (1/120) = 3/20th of the work.
- Total work done by 16 men and 18 women in one day = 1/5 + 3/20 = 4/20 + 3/20 = 7/20th of the work.

Therefore, it will take 20/7 days for 16 men and 18 women to complete the work together.

Hence, the correct answer is option 'B' - 20/7.
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10 men can complete a work in 8 days. 20 women can complete the same work in 6 days. In how many days 16 men and 18 women can complete the same work, working together ?a)19/7b)20/7c)24/7d)17/7Correct answer is option 'B'. Can you explain this answer?
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