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.



Share this page: What’s this?

Recent Articles

  1. Tangrams Math | Traditional Chinese Geometrical Puzzle | Triangles

    Apr 17, 24 01:53 PM

    Tangrams
    Tangram is a traditional Chinese geometrical puzzle with 7 pieces (1 parallelogram, 1 square and 5 triangles) that can be arranged to match any particular design. In the given figure, it consists of o…

    Read More

  2. Time Duration |How to Calculate the Time Duration (in Hours & Minutes)

    Apr 17, 24 01:32 PM

    Duration of Time
    We will learn how to calculate the time duration in minutes and in hours. Time Duration (in minutes) Ron and Clara play badminton every evening. Yesterday, their game started at 5 : 15 p.m.

    Read More

  3. Worksheet on Third Grade Geometrical Shapes | Questions on Geometry

    Apr 16, 24 02:00 AM

    Worksheet on Geometrical Shapes
    Practice the math worksheet on third grade geometrical shapes. The questions will help the students to get prepared for the third grade geometry test. 1. Name the types of surfaces that you know. 2. W…

    Read More

  4. 4th Grade Mental Math on Factors and Multiples |Worksheet with Answers

    Apr 16, 24 01:15 AM

    In 4th grade mental math on factors and multiples students can practice different questions on prime numbers, properties of prime numbers, factors, properties of factors, even numbers, odd numbers, pr…

    Read More

  5. Worksheet on Factors and Multiples | Find the Missing Factors | Answer

    Apr 15, 24 11:30 PM

    Worksheet on Factors and Multiples
    Practice the questions given in the worksheet on factors and multiples. 1. Find out the even numbers. 27, 36, 48, 125, 360, 453, 518, 423, 54, 58, 917, 186, 423, 928, 358 2. Find out the odd numbers.

    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