Multiple choice

A man and a woman working together can do a certain work in 20 days. Their skill in doing the work in the ratio 3 : 2. How many days will the woman take to finish the work alone? एक पुरूष और एक स्त्री साथ-साथ काम करते हुए एक कार्य 20 दिनों में पूरा कर सकते हैं। उस कार्य को करने में उनकी दक्षता का अनुपात 3 : 2 रहता है। तद्नुसार उस स्त्री को अकेले वह कार्य पूरा करने में कितने दिन लगेगे?

  1. 50 days / दिन

  2. 45 days / दिन

  3. 60 days / दिन

  4. 54 days / दिन
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A Correct answer
Explanation

Let the man's efficiency be 3x and woman's efficiency be 2x. Combined efficiency = 5x work/day. They complete work in 20 days, so total work = 20 × 5x = 100x units. Woman alone at 2x efficiency would take 100x/2x = 50 days. Option B (45 days) would require different efficiency ratios. Option C (60 days) assumes equal efficiency. Option D (54 days) is a miscalculation.

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