Pipes And Cisterns MCQ Set 3

Showing question 11 to 15 of total 30 MCQs

Solve the question on your notebook and check it by clicking (Answer and Explanation) below question.

Question No: 12

A tank is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the tank in the same time during which the tank is filled by the third pipe alone. The second pipe fills the tank 5 hours faster than the first pipe and 4 hours slower than the third pipe. Find the time required by the first pipe to fill the tank ?

1. 10 hours
2. 15 hours
3. 17 hours
4. 18 hours

Answer: B

Explanation

Suppose, first pipe alone takes x hours to fill the tank .

Then, second and third pipes will take (x -5) and (x - 9) hours respectively to fill the tank.

As per question, we get

After solving this equation, we get

(x-15)(x+3) = 0,

As value can not be negative, so x = 15

Question No: 13

One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, then the slower pipe alone will be able to fill the tank in

1. 144 mins
2. 140 mins
3. 136 mins
4. 132 mins

Answer: A

Explanation

Let the slower pipe alone fill the tank in x minutes

then faster will fill in x/3 minutes.

Part filled by slower pipe in 1 minute = 1/x

Part filled by faster pipe in 1 minute = 3/x

Part filled by both in 1 minute =

x = 36 × 4 = 144 mins

Question No: 14

12 buckets of water fill a tank when the capacity of each tank is 13.5 litres. How many buckets will be needed to fill the same tank, if the capacity of each bucket is 9 litres?

1. 15 bukets
2. 17 bukets
3. 18 bukets
4. 19 bukets

Question No: 15

A tank can be filled by two pipes A and B in 60 minutes and 40 minutes respectively. How many minutes will it take to fill the tank from empty state if B is used for the first half time and then A and B fill it together for the other half.

1. 15 mins
2. 20 mins
3. 25 mins
4. 30 mins

Answer: D

Explanation

Let the total time be x mins.

Part filled in first half means in x/2 = 1/40

Part filled in second half means in x/2 =

Question No: 11

Taps A and B can fill a bucket in 12 minutes and 15 minutes respectively. If both are opened and A is closed after 3 minutes, how much further time would it take for B to fill the bucket?

1. 8 min 15 sec
2. 7 min 15 sec
3. 6 min 15 sec
4. 5 min 15 sec

Answer: A

Explanation