## Pipe And Cistern questions for Bank Exams

Pipe And Cistern questions for Bank Exams:In every**bank exams**,under quantitative section,there will be at least one question on"

**pipe and cistern**". Solving these type of question is similar to solving

**Work and Time problem**.An average student can solve pipe and cistern problems. But as you know, in bank exams time management matters a lot.We are sharing some important

**Pipe and Cistern Shortcuts**.Hope you will find it useful in upcoming exams.

### Pipe and cistern important shortcut formulas

1.If two pipes A and B

A can fill a tank in x hrsand B can fill the same tank in y hrs

If both pipes are opened simultaneously ,then time taken to fill the tank is

Work done by both pipes together in 1hr=1/x +1/y

2.If two pipes A and B

A can fill a tank in x hrs

and B can empty the same tank in y hrs

If both pipes are opened simultaneously ,then time taken to fill the tank is =

Work done by both pipes together in 1hr=1/x -1/y

3.If three pipes A ,B and C

A can fill a tank in x hrs

B can fill the same tank in y hr

and C takes z hrs for filling the same tank.

If three pipes are opened simultaneously ,then time taken to fill the tanks is

Work done by three pipes together in 1hr=1/x +1/y +1/z

**Example**: A can fill the tank in 28hrs

B can fill the tank in 14 hrs

and C takes 7hrs.

If all three pipes are opened simultaneously ,how long it will take to fill the tank?

**Solution**:time taken=(28*14*7*)/(28*14 + 14*7 + 28*7)

To solve this quicker find out LCM(28,14,7)

we get 28

Time taken =28/(28/28 + 28/14 + 28/7)

=28/(1+2+4)

=28/7

=4

4.If A can fill a tank in x hrs,B can fill the same tank in y hr and C takes z hrs for emptying the same tank.

If three pipes are opened simultaneously time taken to fill the tank is=

Work done by three pipes together in 1hr=1/x +1/y -1/z

**Example**: A can empty the tank in 28 hrs, B can fill the tank in 14 hrs, and C takes 7 hrs for filling.

If all three pipes are opened simultaneously ,how long it will take to fill the tank?

**Solution**:time taken=(28*14*7*)/(28*14 - 14*7 + 28*7)

To solve this quicker find out LCM(28,14,7)

we get 28

Time taken =28/(-28/28 +28/14 + 28/7)

=28/(-1+2+4)

=28/5

=5.6 hrs

=5 hr 36 minutes

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