A leak in the bottom of a tank can empty the full tank in 6 hours. An inlet pipe fills water at the rate of 4 litres per minute.When the tank is full, the inlet is opened and due to the leak the tank is emptied in 8 hours.The capacity of the tank Iitres.

The filler tap can fill the tank in (8*6)/(8-6)=24hrs

Capacity of tank=4*60*24=5760litrs

2.

Two pipes X andY can fill a cistern in 24 min. and 32 min. respectively.If both the pipes are opened together, then after how much time should Y be closed so that the tank is full in 18 minutes?

Two taps can separately fill a cistern in I 0 minutes and I 5 minutes respectively and when the waste pipe is open, they can together fill it iri I 8 minutes. The waste pipe can empty the full cistern in _________ minutes.

Two taps fill the tank in (10*15)/(10+15)=6mints .............(1)

Two fillers + a leak fill in 18mints(given) ..............(2)

leak will empty the tank in from (1) and (2)

(18*6)/(18-6)=9mints

4.

A tank can be filled by one tap in 20 min. and by another in 25 min.Both the taps are kept open for 5 min. and then the second is turned off. In how many minutes more will the tank be completely filled?

In 5 mints, both the pipes fill (5/20)+(5/25)=(1/4)+(1/5)=9/20th of the tank.

Now, 1-(9/20)=11/20 is filled by the first tap.

The first tap can fill 11/20th of the tank in 20*(11/20)=11mints

5.

A cistern has two taps which fill it in I 2 min and I 5 min respectively.There is also a waste pipe in the cistern. When all the pipes are opened, the empty cistern is full in 20 min. How long will the waste pipe take to empty a full cistern?

Two taps fill the tank in (12*15)/(12+15)=6mints ............(1)

Two fillers + a leak fill in 20mints (given) ..................(2)

leak will empty the tank in

(20*6)/(26-6)=8mints

6.

Two taps can separately fill a cistern in I 0 minutes and I 5 minutes respectively and when the waste pipe is open, they can together fill it iri I 8 minutes. The waste pipe can empty the full cistern in _________ minutes.

Two taps fill the tank in (10*15)/(10+15)=6mints .............(1)

Two fillers + a leak fill in 18mints(given) ..............(2)

leak will empty the tank in from (1) and (2)

(18*6)/(18-6)=9mints

7.

Two taps can separately fill a cistern in I 0 minutes and I 5 minutes respectively and when the waste pipe is open, they can together fill it iri I 8 minutes. The waste pipe can empty the full cistern in _________ minutes.

Two taps fill the tank in (10*15)/(10+15)=6mints .............(1)

Two fillers + a leak fill in 18mints(given) ..............(2)

leak will empty the tank in from (1) and (2)

(18*6)/(18-6)=9mints

8.

A cistern has a leak which would empty it in 8 hours. A tap is turned on which admits 6 Jitres a minute into the cistern, and itis now emptied in I 2 hours. How many litres does the cistern hold?

The filler tap can fill the tank in (12*8)/(12-8)=24hrs.

Capacity of tank=6*60*24=8640litrs.

9.

Three pipes A, B and C can fill a cistern in 6 hours. After working at it together for 2 hours, C is closed and A and B can fillit in 7 hours. The time taken by C alone to fill the cistern is

A+B+C can fill a cistern in 6hrs. ..............(1)

A+B+C can fill 1/3 of cistern in 2hrs.

Now, 1-(1/3)=2/3 of cistern is filled up by A+B in 7hrs.

from (1) and (2), C can fill the cistern in

(6*(21/2))/((21/2)-6)=(6*21)/9=14hrs

10.

Three pipes A, B and C can fill a cistern in 6 hours. After working at it together for 2 hours, C is closed and A and B can fillit in 7 hours. The time taken by C alone to fill the cistern is