Multiple choice

A and B working together can do a piece of work in 6 days. If A works alone in the beginning for 2 days and completes 25% of the job, how many days B will take to complete the rest of the work? A और B एकसाथ कार्य करते हुए एक काम को 6 दिनों में पूरा कर सकते हैं। यदि A अकेले पहले 2 दिनों में काम करता है और कार्य का 25% भाग पूरा करता है, शेष कार्य को पूरा करने के लिए B कितने दिन लेगा?

  1. 24 days/24 दिन

  2. 36 days/36 दिन

  3. 18 days/18 दिन

  4. 9 days/9 दिन
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C Correct answer
Explanation

A and B together complete work in 6 days, so their combined rate is 1/6 per day. A completes 25% in 2 days alone, so A's rate is 0.25/2 = 1/8 per day. Therefore B's rate is 1/6 - 1/8 = 1/24 per day. The remaining 75% of work at B's rate takes (0.75)/(1/24) = 18 days. Options A (24 days), B (36 days), and D (9 days) don't match this calculation.

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