Pipe A can fill a tank in 5 hours. Pipe B can empty it in 12 hours. If both pipes are opened together, how much time will it take to fill the tank?
Pipe A can fill a tank in 5 hours. Pipe B can empty it in 12 hours. If both pipes are opened together, how much time will it take to fill the tank?
पाइप A एक टैंक को 5 घंटे में भर सकता है। पाइप B इसे 12 घंटे में खाली कर सकता हैं। यदि दोंनो पाइप एक साथ खोले जाते हैं, तो टैंक को भरने में कितना समय लगेगा?
Detailed Solution & Logic
Correct Answer:
\(8\frac{4}{7}\) hours/\(8\frac{4}{7}\)घंटे
Given:
Rate of Pipe A = $ \frac{1}{5} $ tank/hour
Rate of Pipe B = $\frac{1}{12}$ tank/hour (emptying)
Net rate when both are open
= $ \frac{1}{5} - \frac{1}{12} $
= $ \frac{12-5}{60} = \frac{7}{60}$ tank/hour
Time required
= \(\frac{1}{7/60} = \frac{60}{7} = 8\frac{4}{7}\) hours
\(8\frac{4}{7} \)hours
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