Multiple choice

Efficiency of B is two times more than efficiency of A. Both started working alternatively, starting with B and completed the work in total 37 days. If C alone complete the same work in 50 days then find in how many days A and C together will complete the work? B की क्षमता A की दक्षता से दो गुना अधिक है। दोनों ने बारी-बारी से काम करना शुरू किया, B से शुरू किया और कुल 37 दिनों में काम पूरा किया। यदि C अकेले उसी कार्य को 50 दिनों में पूरा करता है, तो ज्ञात कीजिए कि A और C मिलकर उस कार्य को कितने दिनों में पूरा करेंगे?

  1. 24 days 24 दिन

  2. 28 days 28 दिन

  3. 36 days 36 दिन

  4. 29 days 29 दिन

  5. 30 days 30 दिन
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E Correct answer
Explanation

B's efficiency is 2 times more than A, meaning if A = 1 unit, B = 3 units. Working alternately for 37 days starting with B means B works 19 days, A works 18 days. Total work = 19×3 + 18×1 = 75 units. C completes this in 50 days, so C's rate = 75/50 = 1.5 units/day. Together A + C = 1 + 1.5 = 2.5 units/day. Time needed = 75/2.5 = 30 days.

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