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10 men and 15 women finish a work in 6 days. One man alone finishes that work in 100 days. In how many days will a woman finish the work?
  • a)
    125 days
  • b)
    150 days
  • c)
    225 days
  • d)
    None of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
10 men and 15 women finish a work in 6 days. One man alone finishes th...
∵ One man alone finishes the work in 100 days
⇒ 10 men can finish the work in 10 days 
From the question,
⇒ 15 women can finish work in one day 
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Most Upvoted Answer
10 men and 15 women finish a work in 6 days. One man alone finishes th...
Given Information:
- 10 men and 15 women finish a work in 6 days
- One man alone finishes that work in 100 days

Calculation:
- Let's assume the work is represented by W.
- Men's work rate: 10 men finish W in 6 days, so 1 man's work rate = W/(10*6) = W/60
- Women's work rate: 15 women finish W in 6 days, so 1 woman's work rate = W/(15*6) = W/90
- From the given information, we know 1 man's work rate = W/100

Work Rate Equation:
- Total work rate of 10 men and 15 women = 10*(W/60) + 15*(W/90) = W/6
- Solving this equation, we get W = 5400

Time Taken by a Woman:
- 1 woman's work rate = W/90 = 5400/90 = 60
- So, 1 woman can finish the work in 5400/60 = 90 days
Therefore, a woman will finish the work in 90 days, which is not listed as an option. The closest option is 225 days, which is incorrect.
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10 men and 15 women finish a work in 6 days. One man alone finishes that work in 100 days. In how many days will a woman finish the work?a)125 daysb)150 daysc)225 daysd)None of theseCorrect answer is option 'C'. Can you explain this answer?
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