Subscribe to our YouTube channel for the latest videos, updates, and tips.
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 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.
Recent Articles
-
Worksheet on Rounding Decimals | Questions Related to Round a Decimal
May 14, 25 04:21 PM
The worksheet on rounding decimals would be really good for the students to practice huge number of questions related to round a decimal. This worksheet include questions related -
Rounding Decimals | How to Round a Decimal? | Rounding off Decimal
May 14, 25 03:01 PM
Rounding decimals are frequently used in our daily life mainly for calculating the cost of the items. In mathematics rounding off decimal is a technique used to estimate or to find the approximate -
Worksheet on Rounding Off Number | Rounding off Number | Nearest 10
May 14, 25 12:50 PM
In worksheet on rounding off number we will solve 10 different types of problems. 1. Round off to nearest 10 each of the following numbers: (a) 14 (b) 57 (c) 61 (d) 819 (e) 7729 2. Round off to -
Rounding Off to the Nearest Whole Number | Nearest 10, 100, and 1000
May 13, 25 03:43 PM
Here we will learn how to rounding off to the nearest whole number? -
Conversion of Improper Fractions into Mixed Fractions |Solved Examples
May 12, 25 04:52 AM
In conversion of improper fractions into mixed fractions, we follow the following steps: Step I: Obtain the improper fraction. Step II: Divide the numerator by the denominator and obtain the quotient…
Worksheet on Work Done in a Given Period of Time
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.