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12 men can complete any work in 36 days. 18 women can complete the same piece of work in 60 days. 8 men and 20 women work together for 20 days. If only the women were to complete the remaining work in 4 days, then how many women would be required?
  • a)
    60 
  • b)
    74 
  • c)
    68 
  • d)
    75 
  • e)
    70
Correct answer is option 'E'. Can you explain this answer?
Verified Answer
12 men can complete any work in 36 days. 18 women can complete the sam...
12 men × 36 days = 18 women × 60 days
2m = 5w
8m = 20w
(8m + 20w) × 20 days + xw × 4 days = 18w × 60 days
40 × 20 + x × 4 = 18 × 60  4x = 1080 – 800
x = 280/4
= 70 women
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Most Upvoted Answer
12 men can complete any work in 36 days. 18 women can complete the sam...
Given Information:
- 12 men can complete the work in 36 days
- 18 women can complete the work in 60 days
- 8 men and 20 women work together for 20 days
- Only women complete the remaining work in 4 days

Calculations:

Step 1: Find the work done by 1 man per day
1 man's 1 day work = 1/ (12 * 36)

Step 2: Find the work done by 1 woman per day
1 woman's 1 day work = 1/ (18 * 60)

Step 3: Find the work done by 8 men and 20 women in 20 days
Total work done in 20 days = (8 * 1 man's 1 day work + 20 * 1 woman's 1 day work) * 20

Step 4: Find the remaining work done by women in 4 days
Remaining work = Total work - Work done by 8 men and 20 women in 20 days

Step 5: Calculate the number of women required to complete the remaining work in 4 days
Number of women required = Remaining work / (1 woman's 1 day work * 4)
Therefore, the number of women required to complete the remaining work in 4 days is 70. So, option E is the correct answer.
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