Multiple choice

Ram does a work in 40 days and Shyam does same work in 60 days. If efficiency of Mohan is 20% less than the combined efficiency of Ram and Shyam together then working alone Mohan will complete the whole work in how many days? राम किसी कार्य को 40 दिन में करता है तथा श्याम उसी कार्य को 60 दिनों में करता है। यदि मोहन की क्षमता राम तथा श्याम की संयुक्त क्षमता से 20 प्रतिशत कम है तो मोहन अकेले पूरे कार्य को कितने दिनों में करेगा?

  1. 24 days/दिन

  2. 30 days/दिन

  3. 32 days/दिन

  4. 27.5 days/दिन
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B Correct answer
Explanation

Ram's efficiency: 1/40 work per day. Shyam's efficiency: 1/60 work per day. Combined efficiency = 1/40 + 1/60 = 5/120 = 1/24. Mohan's efficiency is 20% less = 80% of combined = 0.8 × 1/24 = 1/30. So Mohan alone takes 30 days. Verification: Combined (Ram + Shyam) do 1/24 per day. Mohan does 0.8 × 1/24 = 1/30 per day, so 30 days to complete.

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