7
Q:

Two pipes A and B can fill a tank in 15 min and 20 min respectively. Both the pipes are opened together but after 4 min, pipe A is turned off. What is the total time required to fill the tank ?

A) 15 min 20 sec. B) 16 min 40 sec.
C) 13 min 10 sec. D) 14 min 40 sec.

Answer:   D) 14 min 40 sec.



Explanation:

Part filled in 4 minutes = 4(1/15 + 1/20) = 7/15

 

Remaining part = 1 - 7/15 = 8/15

 

Part filled by B in 1 minute = 1/20

 

1/20 : 8/15 :: 1 : k

 

k = (8/15 )x 1 x 20 = 10( 2/3) min = 10 min 40 sec.

 

The tank will be full in (4 min. + 10 min. 40 sec) = 14 min 40 sec.

Subject: Pipes and Cistern
Exam Prep: GATE , CAT , Bank Exams , AIEEE
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Q:

A sump is filled by three tankers with uniform flow. The first two tankers operating simultaneously fill the sump in the same time during which the sump is filled by the third tanker alone. The second tanker fills the sump 5 hours faster than the first tanker and 4 hours slower than the third tanker. The time required by the first tanker is:

 

A) 16hours B) 9hours
C) 10hours D) 15hours
 
Answer & Explanation Answer: D) 15hours

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1 861
Q:

P, Q and R are channels which discharge solutions A,B and C respectively in a tank. When the tank is empty and all the three channels are opened what is the proportion of the solution C in the tank after 3 minutes, if the channels P, Q and R can fill the tank from empty to full in 30 minutes and 20 minutes and 10 minutes respectively when they are opened one at a time.

A) 6/11 B) 5/11
C) 5 D) 6
 
Answer & Explanation Answer: A) 6/11

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3 786
Q:

Out of three pipes the first two can fill an empty tank in 9 and 18 hours, respectively while the third can drain the filled tank in 15 hours. If all the three pipes are opened when the tank is empty, after how many hours will the tank be full?

A) 11 B) 12
C) 10 D) 13
 
Answer & Explanation Answer: C) 10

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0 571
Q:

A tap can fill a tank in 50 minutes. If the tank has a leakage which alone is capable of emptying the tank in 2.5 hours, the tank will now be filled in

A) 1 hour B) 1 hour 15 minutes
C) 1 hour 25 minutes D) 1 hour 30 minutes
 
Answer & Explanation Answer: B) 1 hour 15 minutes

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2 910
Q:

A tap can fill a tank in 20 minutes. If a leakage is capable of emptying the tank in 60 minutes, the tank will be filled in

A) 1 hour B) 45 minutes
C) 30 minutes D) 50 minutes
 
Answer & Explanation Answer: C) 30 minutes

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0 725
Q:

Raghu's tanker can fill a cistern in 4 hours. After half the cistern is filled, three more similar tankers are opened. What is the total time taken to fillthe cistern completely?

A) 2h 30 min B) 2h
C) 3h D) 2h 40 min
 
Answer & Explanation Answer: A) 2h 30 min

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2 950
Q:

A water tank has two holes. The 1st hole alone makes the tank empty in 3 min and 2nd hole alone makes the tank empty in 5 min. If water leaks out at a constant rate, how long in minutes does it take if both the holes together empty the tank?

A) 7/8 B) 23/8
C) 13/8 D) 15/8
 
Answer & Explanation Answer: D) 15/8

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2 652
Q:

Two pipes, when working one at a time can fill a cistern in 2 hrs and 3 hrs, respectively while a third pipe can drain the cistern empty in 6 hrs. All the three pipes were opened together when the cistern was 1/6 full. How long will it take for the cistern to be completely full?

A) 1 hour B) 1 hour 30 min
C) 1 hour 20 min D) 1 hour 15 min
 
Answer & Explanation Answer: D) 1 hour 15 min

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4 830