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
Similar Practice Questions
The amount of money earned on a job
The amount of money earned on a job is directly proportional to the number of...
A work can be finished in a day by 20 men
A work can be finished in a day by 20 men, or by 30 women,...
P and Q together can fill a cistern with water in 12 hours.
P and Q together can fill a cistern with water in 12 hours. If P...
A and B can do a work in 10 days and 40 days, respectively. How long will it take together to complete the work?
A and B can do a work in 10 days and 40 days, respectively. How...
A pipe can fill a tank in 2\frac{2}{3} hours, and another pipe empties it in 4 hours. If both are opened together, how long will it take to fill the tank?
A pipe can fill a tank in $2\frac{2}{3}$ hours, and another pipe empties it in...
A can do a piece of work in 32 days
A can do a piece of work in 32 days and B in 48 days....
Pipe P can fill 5/9 of a tank in 25 hours, and pipe Q can fill 8/9 of the same tank in 24 hours. Pipes P and Q are opened together for 3 hours and then closed. After that, only pipe R is opened, which can empty the tank in 8 hours. If pipes P, Q, and R are all opened together, how much time will it take to fill the empty tank?
Pipe P can fill 5/9 of a tank in 25 hours, and pipe Q can...