satya laxmi

 Profile Answers by satya laxmi 

• Aug 8th, 2008

 

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.

aniltheking033

 Profile Answers by aniltheking033 

• Aug 18th, 2008

 

21 minutes

tttreskarthik

 Profile Answers by tttreskarthik 

• Dec 13th, 2008

 

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

doitsrit

 Profile Answers by doitsrit 

• Jan 16th, 2009

 

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

madhurimasridhar

 Profile Answers by madhurimasridhar 

• Mar 6th, 2009

 

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.

illtutmish

 Profile Answers by illtutmish 

• Mar 21st, 2009

 

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

pavangadu

 Profile Answers by pavangadu 

• Dec 6th, 2009

 

Let the tank be 1 ltr.
It takes 180 min(3 hr) to fill this tank.
Hence 1 min's work is 1/180
After the tank got a hole in it, it takes 3 and 1/2 hrs ie.. 210 min.
hence work expended in 210 min is 210*1/180=7/6
Hence extra work spended due to hole is 7/6-1=1/6.
To compensate this 1/6th(corresponding to wasted water) took 3 and 1/2 hrs.
So time taken for entire tank to get emptied is 210*6=1260min=1260/60=21 hrs.

asheshrocks

 Profile Answers by asheshrocks 

• Aug 21st, 2010

 

It takes 1 hour to fill 1/3rd of tank without leakage.
It take 1 hour to fill 1/3.5 of tank with leakage.
Therefore total difference in filling due to leakage is (1/3)-(1/3.5) =1/21
Therefore, (to fill the tank with the leakage flow) or (to empty the tank with
leakage flow) 21 hours is needed.
Because in 1 hour leakage does 1/21 of its work.

arun yadav

• Oct 24th, 2011

 

21 hrs