Multiple choice

A and B can complete a work in 16 days and B and C can complete it in 24 days . A and B works for 4 days and 7 days respectively and C complete the remaining work in 23 days. In how many days can C complete the work alone? A और B किसी कार्य लो 16 दिन में तथा B और C इससे 24 दिन में पूरा कर सकते हैं | A और B क्रमश: 4 दिन और 7 दिन कार्य करते हैं तथा शेष कार्य C 23 दिन में पूरा करता हैं | C अकेले यह कार्य कितने दिन में पूरा करेगा ?

  1. 32 days/दिन

  2. 40 days/दिन

  3. 48 days/दिन

  4. 30 days/दिन
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A Correct answer
Explanation

A+B rate = 1/16 per day, B+C rate = 1/24 per day. A works 4 days, B works 7 days, C works 23 days. Total work = (A+B)×4 + (B+C)×23 - B×(4+7-16) = W. Through algebraic manipulation, C's rate = 1/32 work per day, so C takes 32 days alone.

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