## Ques 1.

Pipe A can fill a tank in 20 hours while pipe B alone can fill it in 30 hours and pipe C can empty the full tank in 40 hours. If all the pipes are opened together. how much time will be needed to make the tank full ?

**Ans 1.**

## Ques 2.

Two pipes A and B can fill a tank in 24 minutes and 32 minutes respectively .If both the pipes are opened simultaneously, after how much time should B be closed so that the tank is full in 18 minutes ?

**Ans 2.**Let B be closed after x minutes .Then,part filled by (A+B) in x min.+ part filled by A in (18-x) min. = 1.

## Ques 3.

A tap can fill a tank in 6 hours.After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely ?

(a) 3 hrs 15 min

(b) 3 hrs 45 min

(c) 4 hrs

(d) 4 hrs 15 min

**Ans 3.**3 hrs 45 min.

## Ques 4.

A tank is filled in 5 hours by three pipes A,B and C.The pipe C is twice as fast as B and B is twice as fast as A.How much time will pipe A alone take to fill the bank ?

(a) 20 hrs

(b) 25 hrs

(c) 35 hrs

(d) None of these

**Ans 4.**35 hrs

## Ques 5.

Three pipes A,B and C are attached to a cistern .A and B can fill it in 20 and 30 minutes respectively, while C can empty it in 15 minutes .If A,B and C be kept open successively for 1 minute each,how soon will the cistern be filled?

**Ans 5.**

## Ques 6.

Two pipes A and B can separately in 1 minute and 1 3/5 minutes respectively and a third exhaust pipe C can drain off 30 litres of water per minute.If all the three pipes are opened, it takes 15 minutes to fill the cistern with water.Find the capacity of the cistern.

**Ans 6.**

## Ques 7.

An outLet pipe can empty 2/3rd of a cistern in 12 minutes. In 8 minutes, what part of the cistern will be emptied ?

(a) 4/9

(b) 2/3

(c) 4/7

(d) 1/6

**Ans 7.**4/9

## Ques 8.

Two pipes A and B can fill in 27 minutes and 45 minutes respectively.A waste pipe C can empty the tank in 30 minutes.First pipes A and B are opened .After 9 minutes C is also Opened.In how mch time will the tank be full?

**Ans 8.**

## Ques 9.

Two pipes X and Y can fill a cistern in 24 minute and 32 minutes respecttively. f both the pipes are opened together, then after how much lime should Y be closed so that the cistern is full in 18 minutes ?

**Ans 9.**Let pipe Y be closed after x minutes .

## Ques 10.

A reservoir takes 20 minutes to get filled up by a fiiling pipe. Due to a leak 1/4th part of water leaks out.Find the actual filling time of reservoir.

**Ans 10.**

## Ques 11.

A tank takes 15 minute to get filled up by a filling pipe, but takes 3 minutes extra due to a leak in the bottom .Find the time taken by the leak to empty the tank.

**Ans 11.**Let the time by the leak to empty the tank be y; the time taken buy the tank to get filled up without any leakage be x; the extra minutes needed to fill the tank be t due to leakage.

## Ques 12.

A pipe fills 1/3rd of a tank in 10 min. In what time would it fill 5/6th of the tank ?

**Ans 12.**

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