Multiple choice

A is as efficient as B and C together. Working together A and B can complete a work in 18 days and C alone in 30 days. If A and C worked for 8 days then the remaining work is completed by B in how many days? A, उतना ही कार्यकुशल है जितना B और C के साथ मिलकर। A और B एक साथ मिलकर एक काम को 18 दिनों में और C अकेले 30 दिनों में पूरा कर सकते हैं। यदि A और C ने 8 दिनों तक कार्य किया तो शेष कार्य B द्वारा कितने दिनों में पूरा किया जाएगा?

  1. 34 days 34 दिन

  2. 28 days 28 दिन

  3. 30 days 30 दिन

  4. 36 days 36 दिन

  5. None of these इनमें से कोई नहीं
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A Correct answer
Explanation

A = B + C in efficiency. A + B = 1/18, C = 1/30. Substituting: B + C + B = 1/18, so 2B + 1/30 = 1/18. Solving: 2B = 1/18 - 1/30 = 1/45, thus B = 1/90. A = 1/90 + 1/30 = 2/45. A + C work 8 days: 8*(2/45 + 1/30) = 28/45. Remaining 17/45 done by B: (17/45)/(1/90) = 34 days.

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