Veer can do a piece of work in 6 hours. Manoj can do it in 24 hours. With the assistance of Anand, they completed the work in 3 hours. In how many hours can Anand alone do it?
Veer can do a piece of work in 6 hours. Manoj can do it in 24 hours. With the assistance of Anand, they completed the work in 3 hours. In how many hours can Anand alone do it?
वीर एक काम 6 घंटे में कर सकता है। मनोज इसी 24 घंटे में कर सकते हैं. आनंद की सहायता से उन्होंने काम 3 घंटे में पूरा कर लिया। आनंद अकेले इसे कितने घंटों में पूरा कर सकता है?
Detailed Solution & Logic
Correct Answer:
8
$ \frac{1}{6} + \frac{1}{24} + \frac{1}{x} = \frac{1}{3} $
$ \frac{5}{24} + \frac{1}{x} = \frac{1}{3} $
$ \frac{1}{x} = \frac{1}{3} - \frac{5}{24} = \frac{1}{8} $
$ x = 8 $
Answer = 8 hours
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