ExamCompetition Forum Question Papers Ask A Question Mock Test Learn & Earn Sign Up Login Menu



0 vote

A cistern can be filled by two pipes in 10 and 12 min respectively. Both the pipes are opened together for a certain time but, due to defects, only 1/6th of full quantity of water flows through the former and 2/5th of the latter. The defects are detected and rectified. The cistern is filled in 3 min from that moment. How long was it before the detects were rectified?

Asked on by | Votes 0 | Views: 34 | Tags: time and work     | quantitative aptitude     | Add Bounty

A cistern can be filled by two pipes in 10 and 12 min respectively. Both the pipes are opened together for a certain time but, due to defects, only 1/6th of full quantity of water flows through the former and 2/5th of the latter. The defects are detected and rectified. The cistern is filled in 3 min from that moment. How long was it before the detects were rectified?
1). 8 min
2). 8.5 min
3). 9 min
4). 10 min


Share on Facebook      Share on Whatsapp       Share on Twitter




1 answers

1 vote
Answered by on | Votes 1 |

Pipe A can fill the tank in 10 min.

Pipe B can fill the tank in 12 min.

Total units to be filled in the cistern = LCM of (10, 12) = 60

⇒ Pipe A can fill 6 units of water in 1 min.

⇒ Defected Pipe A can fill (6 × 1/6) = 1 unit of water in 1 min.

⇒ Pipe B can fill 5 units of water in 1 min.

⇒ Defected Pipe B can fill (5 × 2/5) = 2 units of water in 1 min.

Given that, last 3 min, both the pipes used were rectified

⇒ in last 3 min (6 + 5) × 3 = 33 units of water were filled in the tank.

⇒ (60 - 33) = 27 units of water were filled with defected pipes.

Both Defected pipes can fill 3 units of water in 1 min.

⇒ Defected pipes can fill 27 units of water in (27/3) = 9 min.

∴ After 9 minutes the defects were rectified.

Join Telegram Group




Answer This Question

Name:
Email:
Answer :
Sum of (1+4)
Submit:

Other Questions

1. A swimming pool has 3 pipes to drain off the water. The first two pipes A and B, operating simultaneously, can empty the pool in 9/16 the time than that taken by C alone. Pipe A, working alone, takes one third the time taken by pipe B. All of them together take 2 hrs 24 minutes to empty the pool. Time taken by pipe A to empty the pool in hours is

2.  A train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while s

3.  A can finish a piece of work in 5 days. B can do it in 10 days. They work together for two days and then A goes away. In how many days will B finish the work?

4.  A can do a piece of work in 4 days and B can complete the same work in 12 days. What is the number of days required to do the same work together?

5.  A, B and C can complete a work separately in 24, 36 and 48 days respectively. They started together but C left after 4 days of start and A left 3 days before the completion of the work. In how many d

6. Pipe A can fill a tank in 120 min and pipe B can fill the same tank in 150 min. If both the pipes opened at the same time, how much time it takes to fill the tank?

7.  A can do a half of certain work in 70 days and B one third of the same in 35 days. They together will do the whole work in.

8. B is 1.5 times as efficient as A. If A can complete $${6 \over 7}$$th of a given task in 12 days, what fraction of the same task would remain incomplete if B works on it independently for 6 days only?

9. A and B together can diga trench in 12 days, which A alone can dig in 28 days; B alone can dig it in

10. Two pipes can fill a cistern in 25 min and 20 min respectively. A third pipe can empty it in 10 minutes. Find out how much time will it take to empty a filled cistern?