Multiple choice

A, B and C can finish a work together in 12 days, if efficiency of A and C is twice of B while efficiency of A and B is thrice of C. find out the time taken by C alone? A, B और C एक कार्य को 12 दिनों में पूरा कर सकते हैं, यदि A और C की कार्य क्षमता B से दुगुनी है जबकि A और B की कार्य क्षमता C से तीनगुनी है? अकेले C द्वारा लिया गया समय ज्ञात करें?

  1. 24 days 24 दिन

  2. 48 days 48 दिन

  3. 36 days 36 दिन

  4. 12 days 12 दिन

  5. 60 days 60 दिन
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B Correct answer
Explanation

Let total work = 12 units (LCM of 12). Combined rate = 1 unit/day. Given: A + C = 2B and A + B = 3C. Solving: from A + B = 3C, we get A = 3C - B. Substitute in A + C = 2B: (3C - B) + C = 2B, so 4C = 3B, B = (4/3)C. Then A = 3C - (4/3)C = (5/3)C. Sum of rates: (5/3)C + (4/3)C + C = 1, so (12/3)C = 1, C = 1/4. C alone takes 12/(1/4) = 48 days.

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