# PIPES AND CISTERN PART 2-LEARN SERIES

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## INTRODUCTION TO PIPES AND CISTERN:

Today,we are going to look on Pipes and Cisterns.Before looking into Pipes and Cistern Part-2 Let us look into Pipe and Cistern Part-1

## #.3. TYPE 3:

### BASED ON EFFICIENCY:

1)A is thrice as efficient as B,If both the pipes are opened together the tank is filled in 2 days,then how long will it take to fill the tank only if Pipe B is Opened?

Explanation

Let us Assume the capacity of Pipe B=10litre/day

Therefore,Capacity of Pipe A=3(B)

=3(10)=30litre/day

So When they are opened together,they can fill 40 litres/day

In 2 days,they can fill 80litres

If Pipe B is Opened then it will take-80/10=8 days

## #.4. TYPE 4

### BASED ON TIME:

1)There are 4 inlet Pipes namely A,B,C,D and their individual capacity to fill the tank is 20 hours,30 hours,40 hours and 50 hours respectively.A opens at 6.00 A.M.,B opens at 8.00 A.M.,C opens at 9 A.M. and D opens at 10 A.M.Find at what time the tank will be filled?

Explanation

Total Capacity=LCM(20,30,40,50)=600 Litres

A’s Efficiency=600/20=30litres/hour

B’s Efficiency=600/30=20litres/hour

C’s Efficiency=600/40=15 litres/hour

D’s Efficiency =600/50=12 litres/hour

Given that,

A is opened at 6.00 A.M. till 10.00 A.M,it is opened for 4 hours

=30*4=120 litres/hour

B is opened at 8.00 A.M. till 10 A.M.,it is opened for 2 hours

=20*2=40 litres/hour

C is opened at 9.00 A.M. till 10 A.M., it is opened for 1 hour

=15*1=15 litres/hour

At 10.00 A.M

Three Pipes (A,B & C fill 175 litres)

Remaining Capacity in the tank=600-175=425 litres

This 475 litres is filled by all the 4 Inlet Pipes

Time=475/(30+20+15+12)

=475/77

=5 hours 30 Minutes

So from 10 A.M. it would take 5 hours 30 Minutes

The tank will be filled at 3.30 P.M

## #.5 TYPE 5:

### BASED ON PARTIAL TIME:

1)Two Pipes A & B fill the tank in 60 Minutes and 40 Minutes respectivley.How many minutes will it take to fill the tank from empty state if B is used for half the time & A and B used to fill Other half?

Explanation

Let the Total Capacity=LCM(60,40)=120 Litres

Efficiency of A=120/60=2 litre/minute

Efficiency of B=120/40=3 litre/minute

Let the time taken by the pipes to fill the tank be X

Half the time=X/2 is used to fill the tank by B & Another half the time is used to fill the tank by A+B

=X/2(Filled by Pipe B)+X/2(Filled by Pipe A+B)

=(X/2)* (3) + (X/2)* (5)

=3(X/2) + 5(X /2)

=8(X/2)

We know that

Total Capacity=Time * Efficiency

120 = (X/2) * 8

240=X*8

30=X

Therefore, the tank is filled in 30 Minutes