Aptitude - Time and Work

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Time and Work

A pipe can fill a tank in 3 hours due to leakage it takes 3.5 hours to fill the same tank then how many hours will the leakage can empty the tank

Total Answers and Comments: 6

Last Update: March 22, 2009 Asked by: vivekbhc

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Submitted by: satya laxmi

Time taken to fill the tank is 1/3 and due to leakage is 3 1/2 i.e 7/2. So work done by leakÂ in 1 hour is 1/3-2/7=1/21.

leak will empty the tank in 21 hrs.

Above answer was rated as good by the following members:
cjaishankatr

August 08, 2008 12:59:11

satya laxmi

Member Since: August 2008 Contribution: 1

RE: Time and Work

Time taken to fill the tank is 1/3 and due to leakage is 3 1/2 i.e 7/2. So work done by leak in 1 hour is 1/3-2/7 1/21.

leak will empty the tank in 21 hrs.

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Overall Rating: +1

August 18, 2008 02:06:47

aniltheking033

Member Since: August 2008 Contribution: 1

RE: Time and Work

21 minutes

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0 1

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December 13, 2008 08:21:45

tttreskarthik

Member Since: December 2008 Contribution: 1

RE: Time and Work

consider a tank with 1 litre(or keep some quantity as u wish) of capacity.
now to fill 1 litre it takes 3 hrs(180 mins). if the tank has a hole then it takes 3 1/2 hrs(210 mins) but remember it does not hav a quantity of 1 litre bcoz of hole(as some more water is wasted due to leakage). so (1 litre + x ).
In 1 min the ideal tank gets filled up with 1/180 litre.
In 1min the tank with hole gets filled with (1+x)/210 litre.
now our aim is to find x litres due to leakage.
therefore x litre is leaked in 3 1/2 hrs.
(1/210)+(x/210)-(1/180) 1min - 1min 0
(1/210)-(1/180) -(x/210)
after solving x 1/6
x 1/6 litre is leaked in 3 1/2 hrs.
then 1 litre 3 1/2 * 6 21 hrs

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January 16, 2009 00:48:22

doitsrit

Member Since: January 2009 Contribution: 2

RE: Time and Work

1/3+1/b 3.5
1/b -1/21
b 21 hrs

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0 1

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March 06, 2009 01:38:29

madhurimasridhar

Member Since: March 2009 Contribution: 8

RE: Time and Work

A pipe can fill a tank in 3hrs.
Due to leakage it takes 3.5 hrs.

So the ans is 1/3-1/3.5 1/3 - 2/7 1/21
Leakage takes 21 hrs.

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March 21, 2009 04:54:26

illtutmish

Member Since: March 2009 Contribution: 3

RE: Time and Work

Ans is 21 hrs
A tap can fill in 3 hrs and leak in x hrs
In 1 hr the tap can fill 1/3 of the tank
In 1 hr it can leak 1/x of the tank
Thus in 1 hr it can totally fill 1/3-1/x (x-3)/3x
Thus the tap can fill the entire tank in 3x/(x-3)
3x/x-3 3.5
x 21

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