Multiple choice

A man and a women, working together, can complete a piece of work in 33 days. The ratio of their efficiencies of working of a male and a female is 14 : 11. In how many days will a woman working alone complete the work? एक पुरूष और महिला एक साथ एक काम को 33 दिनों में समाप्त कर सकते है । एक पुरुष और एक महिला के काम करने की क्षमता का अनुपात 14 : 11 है। एक महिला अकेले इस काम को कितने दिनों में समाप्त करेगी?

  1. 65 days/दिन

  2. 75 days/दिन

  3. 85 days/दिन

  4. 102 days/दिन
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let man's efficiency = 14k, woman's = 11k. Together: 25k work/day. In 33 days, work = 33 × 25k = 825k. Woman alone: 825k/(11k) = 75 days. Check: Together rate = 1/33, woman rate = 11/25 of together = 11/(25×33) = 11/825 = 1/75.

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