Problems on Pipes and Water Tank

Learn how to calculate the problems on pipes and water tank or cistern. We know, work done by inlet is positive and work done by outlet is negative.

Word problems on pipes and water tank or cistern:

1. 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?

Solution:

Time taken by the 1st tap to fill the cistern = 12 hours

Therefore, work done by the 1 st tap in 1 hour = 1/12

Time taken by the 2nd tap to fill the cistern = 9 hours.

Therefore, work done by the 2nd tap in 1 hour = 1/9

Therefore, work done by the both taps in 1 hour = 1/12 + 1/9

                                                                 = (3 + 4)/36

                                                                 = 7/36

Therefore, both taps will fill the cistern in = 36/7 hours.

2. A pipe can fill the tank in 5 hours.  Due to leakage at the bottom it is filled in 6 hours. When the tank is full, in how much time will it be empties by the leak?

Solution:

When there is no leakage, the pipe can fill the cistern in 5 hours.

Therefore, The pipe fills 1/5 th part of the tank in one hour.

When there is a leakage, the pipe can fill the cistern in 6 hours.

In case of leakage, the pipe fills 1/6 th part of the tank in one hour.

So, in 1 hour due to leakage (1/5 – 1/6) th

                                      = (6 – 5)/30 th

                                      = 1/30 th

The part of the tank is emptied.

So, the tank will be emptied by leakage in 30 hours.


3. A tank can be filled by two tap A and B in 8 hour and 10 hours respectively. The full tank can be emptied by the third tap in 9 hours. If all the taps be turned on at the same time, in how much time will the empty tank be filled up completely?

Solution:

Time taken by tap A to fill the tank = 8 hours

Time taken by tap B to fill the tank = 10 hours

Time taken by tap C to fill the tank = 9 hours

Therefore, tap A fills 1/8 th part of the tank in 1 hour.

Tap B fills 1/10 th part of the tank in 1 hour.

Tap C empties out 1/9 th part of the tank in 1 hour.

Thus, in 1 hour (1/8 + 1/10 – 1/9) part of the tank is filled.

(45 + 36 – 40)/360 = 41/360 th part of the tank is filled.

Thus, tank will be filled completely in 360/41 hours, when all the three taps A, B and C are opened together.

Calculate Time to Complete a Work

Calculate Work Done in a Given Time

Problems on Time required to Complete a Piece a Work

Problems on Work Done in a Given Period of Time

Problems on Time and Work

Pipes and Water Tank

Problems on Pipes and Water Tank





7th Grade Math Problems

From Problems on Pipes and Water Tank to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.




Share this page: What’s this?

Recent Articles

  1. Writing Money in Words and Figure | Rules for Writing Money in Words

    Feb 11, 25 12:36 PM

    Rules for writing money in words and figure: 1. Abbreviation used for a rupee is Re. and for 1-rupee it is Re. 1 2. Rupees is written in short, as Rs., as 5-rupees is written as Rs. 5

    Read More

  2. Worksheet on Money | Conversion of Money from Rupees to Paisa

    Feb 11, 25 09:39 AM

    Amounts in Figures
    Practice the questions given in the worksheet on money. This sheet provides different types of questions where students need to express the amount of money in short form and long form

    Read More

  3. Worksheet on Measurement | Problems on Measurement | Homework |Answers

    Feb 10, 25 11:56 PM

    Measurement Worksheet
    In worksheet on measurement we will solve different types of questions on measurement of length, conversion of length, addition and subtraction of length, word problems on addition of length, word pro…

    Read More

  4. Worksheet on Subtraction of Capacity | Word Problems on Capacity | Ans

    Feb 10, 25 09:36 AM

    Subtraction of Volume Worksheet
    Practice the third grade math worksheet on subtraction of capacity. This sheet provides different types of questions where you need to arrange the values of capacity under

    Read More

  5. Practice Test on Circle | Quiz on Circle | Question and Test on Circle

    Feb 10, 25 09:08 AM

    Geometry practice test on circle, the questions we practiced and discussed under worksheets on circle are given here in geometry practice test.

    Read More

Worksheet on Work Done in a Given Period of Time

Worksheet on Time Required to Complete a Piece of Work

Worksheet on Pipes and Water Tank