Topics

General Knowledge
General Science
General English
Aptitude
General Computer Science
General Intellingence and Reasoning
Current Affairs
Exams
Elementary Mathematics
English Literature

Pipe A can fill a tank in 14 hours and Pipe B can fill the same tank in 16 hours. Because of a crack at the bottom of the tank, it takes 32 minutes more to fill the empty tank when both the pipes are kept open simultaneously. How long will the crack at the bottom take to drain a full tank if Pipes A and B are kept closed?

A) 108 hours
B) 112 hours
C) 120 hours
D) 130 hours

Correct Answer:


B) 112 hours

Description for Correct answer:
Pipe A and Pipe B together can fill \( \Large \frac{1}{14}+\frac{1}{16}=\frac{15}{112} \)th of the tank in an hour. That is they take \( \Large \frac{112}{15} \) hours to fill the tank.

Because of the crack, they will take 32 more minutes or \( \Large \frac{32}{60} \)hours more to fill the tank.

That is \( \Large \frac{112}{15}+\frac{32}{60}= \frac{448 + 32}{60} = \frac{480}{60}= 8 hours \) to fill the tank. Or \( \Large \frac{1}{8} \)th of tank gets filled in an hour.

The crack, therefore, drains \( \Large \frac{15}{112}-\frac{1}{8}=\frac{15-4}{112}=\frac{1}{112} \)th of the tank every hour.

Therefore, the leak alone will take 112 hours to empty the tank.

Part of solved Pipes and Cisterns questions and answers : >> Aptitude >> Pipes and Cisterns

Comments

Similar Questions

1). 3 small pumps and a large pump are filling a tank. Each of the three small pumps works at 2/3rd the rate of the large pump. If all 4 pumps work together, they should fill the tank in what fraction of the time that would have taken the large pump alone?

A). \( \Large \frac{1}{5} \)th of the time

B). \( \Large \frac{1}{4} \)th of the time

C). \( \Large \frac{1}{3} \)rd of the time

D). \( \Large \frac{1}{6} \)th of the time

2). Pipe A which can fill a tank in 20 minutes is kept open for 5 minutes when the tank is empty. Then Pipe B which can fill the tank in 30 minutes is also opened. How long after Pipe A is opened will the tank be full?

A). 12 minutes

B). 17 minutes

C). 16 minutes

D). 14 minutes

3). Pipe A alone can fill a tank in 8 minutes. Pipe B alone can fill the same tank in 12 minutes. Both the pipes are opened together when the tank is empty. However, Pipe B is closed 3 minutes before the tank is full. In what time did the tank get filled?

A). 6 minutes

B). 8 minutes

C). 10 minutes

D). 12 minutes

4). Pipe A alone can fill a tank in 12 minutes and Pipe B can fill the same tank in 15 minutes. Pipe C which is at the bottom of the tank can drain the tank at the rate of 22 litres/minute. If all three pipes are kept open together when the tank is full, the tank gets emptied in one hour. What is the capacity of the tank?

A). 140Ltrs.

B). 132 Ltrs.

C). 150 Ltrs.

D). 146 Ltrs.

5). Pipe A can fill a tank in 4 minutes. Pipe B can fill the same tank in 8 minutes. Pipe C at the bottom of the tank can drain the tank completely in 6 minutes. If all three pipes are kept open together when the tank is empty and pipe C is shut after 3 minutes, in how many minutes will the tank be full after Pipe C is shut?

A). 3 minutes

B). 5 minutes

C). 1 minute

D). 2 minutes

6). Pipe A fills a tank in 24 minutes. Pipe B can fill the same tank 7 times as fast as Pipe A. If both the pipes are kept open when the tank is empty, when will the tank be full?

A). 5 minutes

B). 2 minutes

C). 4 minutes

D). 3 minutes

7). Pipe A can fill a tank in 10 minutes. Pipe B can fill the same tank in 15 minutes. Pipe C at the bottom of the tank is a waste pipe for emptying the tank. After opening Pipe A and Pipe B, a man returns when the tank should have been full. However, he finds that Pipe C was also kept open and shuts it and the tank overflows in the next 2 minutes. How many minutes will Pipe C take to empty the tank if Pipes A and B are kept shut?

A). 18 minutes

B). 16 minutes

C). 14 minutes

D). 12 minutes

8). A tank is fitted with 8 pipes, some that fill the tank and others that empty the tank. Each of the fill pipes fills the tank in 8 hours, while each of the waste pipes empties it in 6 hours. lf all the pipes are kept open when the tank is full, the tank will be completely drained in 6 hours. How many of these 8 pipes are fill pipes?

A). 6 fill pipes

B). 4 fill pipes

C). 7 fill pipes

D). 3 fill pipes

9). Pipe A fills a tank of capacity 700 liters at the rate of 40 liters a minute. Another pipe, pipe B, fills the same tank at the rate of 30 liters a minute. A pipe at the bottom of the tank drains the tank at the rate of 20 liters a minute. If pipe A is kept open for a minute and then closed and pipe B is kept open for a minute and then closed and then pipe C is kept open for a minute and then closed and the cycle repeated, when will the tank be full?

A). 46 minutes 40 seconds

B). 52 minutes 15 seconds

C). 40 minutes 20 seconds

D). 36 minutes 50 seconds

10). Pipe A can fill a tank in 40 minutes. Pipe B whose diameter is twice as that of Pipe A also fills the tank. lf both the pipes are opened together when the tank is 3/4ths empty, when will the tank be full?

A). 7 minutes

B). 9 minutes

C). 5 minutes

D). 6 minutes