One pipe can fill the tank in 21 minutes
One pipe can fill the tank in 21 minutes while another pipe can empty completely filled tank in 24 minutes. If both the pipes are operated together on empty tank, how long (in minutes) will it take to fill one-fourth of the tank?
एक पाइप टैंक को 21 मिनट में भर सकता है जबकि दूसरा पाइप पूरी तरह से भरे टैंक को 24 मिनट में खाली कर सकता है। यदि दोनों पाइपों को खाली टैंक में एक साथ खोल दिया जाए, तो टैंक का एक – चौथाई भाग भरने में कितना समय ( मिनटों में) लगेगा?
Detailed Solution & Logic
42
Filling rate = $ \frac{1}{21} $
Emptying rate = $\frac{1}{24} $
Net rate = $ \frac{1}{21}-\frac{1}{24} $
$ = \frac{24-21}{504} = \frac{3}{504} = \frac{1}{168} $
Time to fill full tank = 168 minutes
Time to fill $ \frac{1}{4} \text{ tank} = \frac{168}{4} $
Answer = 42 minutes
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