Multiple choice

A, B and C can do a piece of work individually in 24, 36 and 48 days, respectively. A and B start working but A leave the work after working for 6 days. After this, C joins B till the completion of work. In how many days will the work be finish? A, B और C किसी कार्य को क्रमशः 24, 36 और 48 दिनों में कर सकते हैं । A और B कार्य करना शुरू करते हैं लेकिन 6 दिन के बाद A कार्य छोड़ देता हैं। इसके बाद, C कार्य पूरा होने तक B के साथ कार्य करता है। कितने दिनों में कार्य समाप्त हो जाएगा?

  1. 18 days / 18 दिन

  2. 20 days / 20 दिन

  3. 16 days / 16 दिन

  4. 12 days / 12 दिन
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A Correct answer
Explanation

A and B work together for 6 days: (1/24 + 1/36)×6 = 5/12 of work done. Remaining 7/12 is done by B and C. B+C's combined rate = 1/36 + 1/48 = 7/144. Time for remaining work = (7/12)÷(7/144) = 12 days. Total time = 6+12 = 18 days.

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