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Aptitude - Pipes and Cistern - Discussion

@ : Home > Aptitude > Pipes and Cistern > General Questions - Discussion

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"Love is like a war, Easy to begin Hard to end."
- (Proverb)
1. 

Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes, and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P,Q and R respectively. What is the proportion of the solution R in the liquid in the tank after 3 minutes?

[A].
5
11
[B].
6
11
[C].
7
11
[D].
8
11

Answer: Option A

Explanation:

Part filled by (A + B + C) in 3 minutes = 3 1 + 1 + 1 = 3 x 11 = 11 .
30 20 10 60 20

Part filled by C in 3 minutes = 3 .
10

Required ratio = 3 x 20 = 6 .
10 11 11


Angel said: (Sun, Sep 26, 2010 12:22:49 AM)    
 
How 3/10 came ? Please explain it in detail.

Prakash Kumar said: (Thu, Oct 14, 2010 07:47:45 AM)    
 
Is there is any shortcut methods in understanding the pipes and cisterns problems?

Yukta said: (Wed, Jan 5, 2011 09:38:29 PM)    
 
R is belongs to C.The ratio of the solution is obtained from dat.

Akshay said: (Fri, Jan 7, 2011 01:19:40 AM)    
 
@Angle

When c works for 1 min its work done in 1 min = 1/10

so when it works for 3 min its contribution = 3/10

Rakesh K said: (Sat, Jan 8, 2011 09:50:15 AM)    
 
Is there any shortcuts to find pipes problems?

Dine said: (Wed, Jan 12, 2011 11:11:24 PM)    
 
They asking after 3 min
so they given as a b c proportional to p q r .
so r is c for 3 min it 3/10.

Lalli said: (Wed, Jan 19, 2011 07:34:02 PM)    
 
How 3/10*20/11=6/11 came? please explain.

Ajay said: (Wed, Feb 9, 2011 06:18:20 AM)    
 
Part filled by C in 3 minutes = 3/10
Part filled by (A + B + C) in 3 minutes = 3 ( 1/30+ 1/20 +1/10)= 3*11/60 = 11/20


Required ratio = chemical soluttion R in tank/ total chemical solution in tank
i.e. 3/10/11/20

= 3*20/10*11
= 60/110
= 6/11

Aarti said: (Tue, Mar 22, 2011 07:15:51 AM)    
 
How 11/60 came? where is this 11 came from ?

Sumanth Gowda said: (Fri, Jun 24, 2011 03:40:34 PM)    
 
Hey guys listen properly.

A part filled by 3 min
for a=1/30,b=1/20,c=1/20
first u add this tree and multiply by 3 min k then u'l get 11/20
discharge chemical solutions P,Q and R respectively its equal to A,Band C
observe carefully P=A,Q=B,R=C;
proportion of the solution R in the liquid in the tank after 3 minutes where 3min s nothing but 3(C).....3(1/10) ie 3/10

Now u got ans.

Vengatesh said: (Sat, Jul 2, 2011 08:49:00 AM)    
 
How is 11/60? from where this 11 came from? please explain.

Srinivasan said: (Sat, Aug 6, 2011 10:13:52 AM)    
 
1/30 + 1/20 + 1/10 = {(2*1)+(3*1)+(6*1)}/60
= 11/60
do L.C.m Now add this, we'ii got wht u wnt...
It's simple........

Aks said: (Mon, Sep 26, 2011 12:51:03 PM)    
 
How 3/10 came? means 10 came from where?

M@N≫ said: (Fri, Sep 30, 2011 07:03:46 PM)    
 
Why should we multiply 3 with a b and c i.e 3*(1/30+1/20+1/10) ?

Lalitha said: (Wed, Nov 30, 2011 01:01:29 PM)    
 
If 1/30,1/20,1/10 added we get 3/60 how 11/60 ?

Rajthilak said: (Wed, Dec 14, 2011 01:28:29 PM)    
 
@Sumanth Gowda thanks I understand now.

Sashank Singh said: (Fri, Jan 6, 2012 10:33:06 AM)    
 
A, B and C can fill a tank in 6 hrs. After 2 hrs C is stopped. Then A and B together fill the tank in 7 hrs.

How much C will take individully take to fill the tank?

Deepi said: (Sun, Feb 5, 2012 06:49:25 PM)    
 
Hi Sashank Singh

Let me explain in detail.

(A,B and C)Three pipes work together 2 hours from that completed work is
(1/6)*2=1/3
The remaining work is 2/3.
This 2/3 work is done by A and B alone 7hrs.
That is
2/3 =7hrs
1 =? =>7*3/2=21/2hrs
A,B&c=6hrs
A&B=21/2hrs
lets take A,B&C total work time is X and A,B work time is Yhrs.
To find A alone use the formula as (X*Y)/(Y-X)
(6*21/2)/(21/2-6)=14

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