## INLET AND OUTLET WORD PROBLEMS WITH SOLUTIONS

Problem 1 :

A pipe can fill up an empty tank in 12 minutes. Another pipe flows out 14 liter of water per minute. If the two pipes are opened together and the empty tank is filled up in 96 minutes, how much water does the tank contain ?

Solution :

Let x liter of water filled in the tank per minute. So, y be the quantity of water in the tank

According to the given information, the empty tank is filled in 12 minutes by pumping x liter of water per minute.

y  =  12x   ---(1)

Now inlet and outlet both are opened and it is filled in 96 minutes.

y  =  96x - 96(14)  ------(2)

(1)  =  (2)

12x  =  96x - 1344

84x  =  1344

x  =  16

By applying the value of x in (1), we get

y  =  12 (16)

y  =  192

So, the tank will contain 192 liter of water.

Problem 2 :

Two pipes are connected with a tank. The empty tank is filled up in t1 minutes by the first pipe and it becomes empty in t2 minutes by the second pipe. If the two pipes are opened together, how much time will the tank be filled up ? (Here t2 > t1)

Solution :

Part of the tank filled by the first pipe in 1 hour  =  1/t1

Part of the tank emptying by the second pipe in 1 hour  =  1/t2

Part of the tank filled in 1 hour when both pipes are opened :

=  1/t1 - 1/t2

=  (t2-t1)/t1t2

Time taken by both pipes to fill the tank

=  t1t2 / (t2-t1)

Problem 3 :

A tank is filled up in 12 minutes by a pipe. Another pipe flows out 15 liter of water in 1 minute. When the tank is empty, the two pipes are opened together and the tank is filled up in 48 minutes. How much water does the tank contain ?

Solution :

Let x liter of water filled in the tank in minute. So, y be the quantity of water in the tank.

According to the question

y  =  12x  ----(1)

When both pipes are opened and the tank is empty, if it filled in 48 minutes.

y = 48x - 15(48) ----(2)

(1)  =  (2)

12x  =  48x - 720

12x-48x  =  -720

36x  =  720

x  =  720/36

x  =  20

20 liter of water is pumped in the tank per minute.

By applying x  =  20 in (1), we get

y  =  12(20)

y  =  240

So, 240 liter of water in the tank.

Apart from the stuff given above, if you need any other stuff in math, please use our google custom search here.

If you have any feedback about our math content, please mail us :

v4formath@gmail.com

You can also visit the following web pages on different stuff in math.

WORD PROBLEMS

Word problems on simple equations

Word problems on linear equations

Algebra word problems

Word problems on trains

Area and perimeter word problems

Word problems on direct variation and inverse variation

Word problems on unit price

Word problems on unit rate

Word problems on comparing rates

Converting customary units word problems

Converting metric units word problems

Word problems on simple interest

Word problems on compound interest

Word problems on types of angles

Complementary and supplementary angles word problems

Double facts word problems

Trigonometry word problems

Percentage word problems

Profit and loss word problems

Markup and markdown word problems

Decimal word problems

Word problems on fractions

Word problems on mixed fractrions

One step equation word problems

Linear inequalities word problems

Ratio and proportion word problems

Time and work word problems

Word problems on sets and venn diagrams

Word problems on ages

Pythagorean theorem word problems

Percent of a number word problems

Word problems on constant speed

Word problems on average speed

Word problems on sum of the angles of a triangle is 180 degree

OTHER TOPICS

Profit and loss shortcuts

Percentage shortcuts

Times table shortcuts

Time, speed and distance shortcuts

Ratio and proportion shortcuts

Domain and range of rational functions

Domain and range of rational functions with holes

Graphing rational functions

Graphing rational functions with holes

Converting repeating decimals in to fractions

Decimal representation of rational numbers

Finding square root using long division

L.C.M method to solve time and work problems

Translating the word problems in to algebraic expressions

Remainder when 2 power 256 is divided by 17

Remainder when 17 power 23 is divided by 16

Sum of all three digit numbers divisible by 6

Sum of all three digit numbers divisible by 7

Sum of all three digit numbers divisible by 8

Sum of all three digit numbers formed using 1, 3, 4

Sum of all three four digit numbers formed with non zero digits

Sum of all three four digit numbers formed using 0, 1, 2, 3

Sum of all three four digit numbers formed using 1, 2, 5, 6