Pipes Emptying and Filling The Tank
Pipes Emptying And 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.
Pipes Emptying And Filling The Tank:
Let us consider a situation in which more than one pipe is connected to a tank or a reservoir and is either filling or emptying it. The pipe or tap which is filling are the inlet to the tank or reservoir. The pipe or tap which is emptying are the outlet to the tank or reservoir.
We will first calculate the part of tank filled by the pipe connected as inlet in 1 hour.
Similarly We will calculate the part of tank emptied by the pipe connected as outlet in 1 hour
Finally we will subtract the fraction emptied from the fraction filled in 1 hour.
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 one pipes filling and the other emptying 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 empty a tank in y h,
Then the part emptied 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 difference of the part filled and emptied 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 emptied by the other tap in 15 hours. If both taps are opened together how long will it take to fill the cistern?
A. 30 B. 20 C. 60 D. 45
Answer: C
A cistern normally takes 10 hours to be filled by a tap but because of one open outlet pipe, it takes 5 hours more. In how many hours will the outlet pipe will empty a full cistern? | |||
| Right Option : C | |||
| View Explanation | |||
A tank is three - fourth full. Pipe A can fill the tank in 12 min. Pipe B can empty it in 8 min. If both pipes are open, how long will it take to empty the tank ? | |||
| Right Option : A | |||
| View Explanation | |||
If a pipe can fill a tank in 7 h and another pipe can empty the full tank in 13 h, then how long will it take to fill the tank, if both the pipes are opened together ? | |||
| Right Option : D | |||
| View Explanation | |||
Students / Parents Reviews [20]
My 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
7thAbhyas is an institute of high repute. Yogansh has taken admission last year. It creates abilities in child to prepare for competitive exams. Students are motivated by living prizes on basis of performance in Abhyas exams. He is satisfied with institute.
Yogansh Nyasi
7thA 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
7thAbhyas is good institution and a innovative institute also. It is a good platform of beginners.Due to Abhyas,he has got knoweledge about reasoning and confidence.My son has improved his vocabulary because of Abhyas.Teacher have very friendly atmosphere also.
Manish Kumar
10thUsually we see institutes offering objective based learning which usually causes a lag behind in subjective examinations which is the pattern followed by schools. I think it is really a work of planning to make us students grab the advantages of modes of examination, Objective Subjective and Onli...
Anika Saxena
8thWhen I have not joined Abhyas Academy, my skills of solving maths problems were not clear. But, after joining it, my skills have been developed and my concepts of science and SST are very well. I also came to know about other subjects such as vedic maths and reasoning.
Sharandeep Singh
7thAbhyas 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.
Om Umang
10thThird consective year,my ward is in Abhyas with nice experience of admin and transport support.Educational standard of the institute recumbent at satisfactory level. One thing would live to bring in notice that last year study books was distributed after half of the session was over,though study ...
Ayan Ghosh
8thAbhyas academy is great place to learn. I have learnt a lot here they have finished my fear of not answering.It has created a habit of self studying in me.The teachers here are very supportive and helpful. Earlier my maths and science was good but now it has been much better than before.
Barkha Arora
10thThe experience was nice. I studied here for three years and saw a tremendous change in myself. I started liking subjects like English and SST which earlier I ran from. Extra knowledge gave me confidence to overcome competitive exams. One of the best institutes for secondary education.
Aman Kumar Shrivastava
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
10thMy experience with Abhyas academy is very nice or it can be said wonderful. I have been studying here from seven class. I have been completing my journey of three years. I am tinking that I should join Abhyas Academy in tenth class as I am seeing much improvement in Maths and English
Hridey Preet
9thBeing a parent, I saw my daughter improvement in her studies by seeing a good result in all day to day compititive exam TMO, NSO, IEO etc and as well as studies. I have got a fruitful result from my daughter.
Prisha Gupta
8thIt 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
8thWe started with lot of hope that Abhyas will help in better understnding of complex topics of highers classes. we are not disappointed with the progress our child has made after attending Abhyas. Though need to mention that we expected a lot more. On a scale of 1-10, we would give may be 7.
Manya
8thAbhyas Methodology is very good. It is based on according to student and each child manages accordingly to its properly. Methodology has improved the abilities of students to shine them in future.
Manish Kumar
10thIt was a good experience with Abhyas Academy. I even faced problems in starting but slowly and steadily overcomed. Especially reasoning classes helped me a lot.
Cheshta
10thMy 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
8thAbhyas institute is one of the best coaching institute in the vicinity of Ambala Cantt area. The teachers of the institute are well experienced and very helpful in solving the problems of the students.The good thing of the institute is that it is providing extra classes for the students who are w...
Aman Kumar Shrivastava
10thIt 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
