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Aptitude - Pipes and Cistern - Discussion

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

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"In the middle of difficulty lies opportunity."
- Albert Einstein
6. 

Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is:

[A]. 60 gallons[B]. 100 gallons
[C]. 120 gallons[D]. 180 gallons

Answer: Option C

Explanation:

Work done by the waste pipe in 1 minute = 1 - 1 + 1
15 20 24

    = 1 - 11
15 120

    = -  1 .    [-ve sign means emptying]
40

Volume of 1 part = 3 gallons.
40

Volume of whole = (3 x 40) gallons = 120 gallons.


Shankarbalaji said: (Sun, Dec 26, 2010 11:29:29 AM)    
 
2 pipes can fill a tank in X and Y times respectively. How to calculate the time taken to fill the tank if both the pipes a open together?

Zonked said: (Tue, Jan 4, 2011 10:18:14 AM)    
 
i dont get this one.

Karan Ratnaparkhi said: (Fri, Jan 7, 2011 01:38:58 PM)    
 
As per the given condition we have 1/20 + 1/24 + 1/3 = 1/15. Here 1/3 refers to waste pipe nd 1/20, 1/24 refer to other 2 pipes.

Sravanreddypailla said: (Thu, May 5, 2011 04:44:30 AM)    
 
Two pipes can fill a tank in 20 and 24 minutes respectively and part filled by them is(1/20+1/24)

1gallon=~4litres

All the three pipes working together total tank fills in 15min
so 1part fills in 15min


waste pipe can empty 3 gallons per minute so the volume of tank emptying by waste pipe is total filled tank minus part filled by to pipes i.e 1/15-(1/20+1/24) x 1min= -1/40

that means in 1min waste pipe is emptying 1/40part of total tank

given ,
waste pipe can empty 3 gallons per minute

therefore total volume is 1/40=3 gallons=>120 gallons

hence capacity of tank is 120 gallons

Manasa said: (Sat, Jun 11, 2011 09:06:59 AM)    
 
Thanks a lot. SRAVANREDDYPAILLA.

Raj said: (Wed, Apr 11, 2012 08:09:20 PM)    
 
How did 1/20+1/24=11/120.
Please explain it ?

Rabi said: (Wed, Apr 18, 2012 10:04:20 AM)    
 
Let the capacity of tank x gallons. then in 1 minute tank filled (x/20+x/24-3)gallons
From the question we can write
15(x/20+x/24-3)=x [it took 15 min to fill x gallons]
x/20+x/24-x/15=3
(6x+5x-8x)/120=3
3x/120=3
x=120 gallons

Poonam said: (Thu, Feb 14, 2013 01:35:34 PM)    
 
What is mean by galloons?

Sowmi said: (Wed, Feb 20, 2013 01:19:53 PM)    
 
A measure of capacity for liquids. Say water or milk can be measured on gallons.

Krish said: (Sat, Apr 27, 2013 10:54:24 AM)    
 
Let x = no.of minutes to take empty the gallon by leakage.

(1/20+1/24-1/x)=1/15.

x will get = 40 min.

40*3 = 120 gallon.

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