Multiple Pipes Filling The Tank
Multiple Pipe Filling The Tank
Pipes and Cisterns
Pipes are connected to tank or reservoir, or cisterns are used to fill or empty the tank.
Inlet
A pipe or a tap connected with a tank ( or a cistern or a reservoir) is called an inlet, if it fills it.
Outlet
A pipe or a tap connected with a tank (or a cistern or a reservoir) is called an outlet, if it empties it.
Multiple Pipe Filling The Tank:
Let us consider a situation in which more than one pipe is connected to a tank or a reservoir and is filling it. The pipes or taps are the inlet to the tank or reservoir.
We will first calculate the part of tank filled by all the pipes connected one by one and will then add them together
We will then take the reciprocal to find the total time taken by all the pipes together to fill the tank
Formula:
Let us consider the case when two pipes filling the tank together
If 1st pipe can fill a tank in x h,
Then the part filled by the 1st pipe in 1 h can be calculated as
Similarly, if 2nd pipe can fill a tank in y h,
Then the part filled by the 2nd pipe in 1 h can be calculated as
Then the part filled by the both the pipes in 1 h can be calculated as the sum of the part filled by individual pipe
To calculate the time taken to fill the tank by both the pipes together. we will take the reciprocal of the part filled in one hour
Illustration: A cistern can be filled by a tap in 12 hours and by the other tap in 9 hours. If both taps are opened together how long will it take to fill the cistern?
A. 4.35 B. 5.14 C. 0.19 D. 4.76
Answer: B
Two pipes can fill up water tank in 6 hours and 40 minutes. Find the time each will take to fill the tank if one of the two pipes can fill it is three hours less than the other. | |||
| Right Option : A | |||
| View Explanation | |||
Two pipes running together can fill a cistern in | |||
| Right Option : C | |||
| View Explanation | |||
Two pipes running together can fill a cistern in 6 minutes. If one pipe takes 5 minutes less than the other pipe to fill the cistern, then the time in which they alone can fill the cistern will be | |||
| Right Option : B | |||
| View Explanation | |||
Students / Parents Reviews [10]
One of the best institutes to develope a child interest in studies.Provides SST and English knowledge also unlike other institutes. Teachers are co operative and friendly online tests andPPT develope practical knowledge also.
Aman Kumar Shrivastava
10thMy experience with Abhyas is very good. I have learnt many things here like vedic maths and reasoning also. Teachers here first take our doubts and then there are assignments to verify our weak points.
Shivam Rana
7thIt was good as the experience because as we had come here we had been improved in a such envirnment created here.Extra is taught which is beneficial for future.
Eshan Arora
8thMy experience was very good with Abhyas academy. I am studying here from 6th class and I am satisfied by its results in my life. I improved a lot here ahead of school syllabus.
Ayan Ghosh
8thAbout Abhyas metholodology the teachers are very nice and hardworking toward students.The Centre Head Mrs Anu Sethi is also a brilliant teacher.Abhyas has taught me how to overcome problems and has always taken my doubts and suppoeted me.
Shreya Shrivastava
8thMy experience with Abhyas academy is very good. I did not think that my every subject coming here will be so strong. The main thing is that the online tests had made me learn here more things.
Hiya Gupta
8thA marvelous experience with Abhyas. I am glad to share that my ward has achieved more than enough at the Ambala ABHYAS centre. Years have passed on and more and more he has gained. May the centre flourish and develop day by day by the grace of God.
Archit Segal
7thIt has a great methodology. Students here can get analysis to their test quickly.We can learn easily through PPTs and the testing methods are good. We know that where we have to practice
Barkha Arora
10thI have spent a wonderful time in Abhyas academy. It has made my reasoning more apt, English more stronger and Maths an interesting subject for me. It has given me a habbit of self studying
Yatharthi Sharma
10thAbhyas is a complete education Institute. Here extreme care is taken by teacher with the help of regular exam. Extra classes also conducted by the institute, if the student is weak.
