Multiple choice

A does a work in 80 days and B does the same work in 60 days whereas C destroys whole work in 120 days. If A,B and C work on alternate days(A,B,C;A,B,C and so on), then total work will be completed in how many days? A किसी कार्य को 80 दिनों में करता है और B उसी कार्य को 60 दिनों में करता है, जबकि C 120 दिनों में पूरे कार्य को नष्ट कर देता है। यदि A, B और C एकान्तर दिनों (A,B,C;A,B,C और इसी प्रकार) पर कार्य करते हैं, तो कुल कार्य कितने दिनों में समाप्त होगा?

  1. 142 days/दिन

  2. 144 days/दिन

  3. 142.5 days/दिन

  4. None of the above/उपर्युक्त में से कोई नहीं
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Take LCM of 80, 60, 120 as 240 units. A does 3 units/day, B does 4 units/day, C destroys 2 units/day. Each 3-day cycle (A+B+C) completes 5 units. After 47 full cycles (141 days), 235 units done. Day 142: A does 3 units (238 total). Day 143: B needs only 2 units at 4 units/day, taking 0.5 day. Total 142.5 days.

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