Quant Exam > Quant Questions > Two pipes A and B can fill a tank in 12 hours...
Start Learning for Free
Two pipes A and B can fill a tank in 12 hours and 15 hours respectively. If they are opened on alternate hours with pipe A opened first, then in how many hours the tank will be full?
- a)13 hrs
- b)14 1/2 hrs
- c)12 hrs
- d)12 1/2 hrs
- e)10 2/3 hrs
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Two pipes A and B can fill a tank in 12 hours and 15 hours respectivel...
A = 12 hours, B = 15 hours
Total work = LCM(12,15) = 60
So efficiency of A = 60/12 = 5, efficiency of B = 60/15 = 4
2 hrs work of (A+B) = 5+4 = 9
2*6(12) hours work of (A+B) = 9*6 = 54
So remaining work = 60-54 = 6
Now A’s turn at 13th hour, he will do remaining work(6) in 6/12 hr
So total 12 1/2 hrs
Total work = LCM(12,15) = 60
So efficiency of A = 60/12 = 5, efficiency of B = 60/15 = 4
2 hrs work of (A+B) = 5+4 = 9
2*6(12) hours work of (A+B) = 9*6 = 54
So remaining work = 60-54 = 6
Now A’s turn at 13th hour, he will do remaining work(6) in 6/12 hr
So total 12 1/2 hrs
Most Upvoted Answer
Two pipes A and B can fill a tank in 12 hours and 15 hours respectivel...
Given:
- Pipe A can fill the tank in 12 hours.
- Pipe B can fill the tank in 15 hours.
- Pipes A and B are opened on alternate hours, with pipe A opened first.
To find: In how many hours the tank will be full.
Approach:
We can solve this problem using the concept of "work done". The work done by a pipe is proportional to the time it is opened and inversely proportional to the time it takes to fill the tank.
Let's assume that the tank has a capacity of 60 units (this is an arbitrary assumption, we can assume any value as long as we are consistent with our calculations).
- Pipe A can fill 60 units in 12 hours, so its work rate is 60/12 = 5 units per hour.
- Pipe B can fill 60 units in 15 hours, so its work rate is 60/15 = 4 units per hour.
Now, let's consider the filling of the tank when pipes A and B are opened alternately, starting with pipe A.
- In the first hour, pipe A fills 5 units.
- In the second hour, pipe B fills 4 units.
- In the third hour, pipe A fills 5 units.
- In the fourth hour, pipe B fills 4 units.
- And so on...
We can see that in every two hours, the total work done is 5+4=9 units.
To find the total time taken to fill the tank, we need to find how many times 2 hours go into 60 units. This can be done as follows:
- In 2 hours, 9 units are filled.
- In 4 hours, 18 units are filled.
- In 6 hours, 27 units are filled.
- In 8 hours, 36 units are filled.
- In 10 hours, 45 units are filled.
- In 12 hours, 54 units are filled.
- In 12 and a half hours, 57.5 units are filled.
- In 13 hours, 60 units are filled.
Therefore, the tank will be full in 13 hours.
Answer: Option (a) 13 hrs.
- Pipe A can fill the tank in 12 hours.
- Pipe B can fill the tank in 15 hours.
- Pipes A and B are opened on alternate hours, with pipe A opened first.
To find: In how many hours the tank will be full.
Approach:
We can solve this problem using the concept of "work done". The work done by a pipe is proportional to the time it is opened and inversely proportional to the time it takes to fill the tank.
Let's assume that the tank has a capacity of 60 units (this is an arbitrary assumption, we can assume any value as long as we are consistent with our calculations).
- Pipe A can fill 60 units in 12 hours, so its work rate is 60/12 = 5 units per hour.
- Pipe B can fill 60 units in 15 hours, so its work rate is 60/15 = 4 units per hour.
Now, let's consider the filling of the tank when pipes A and B are opened alternately, starting with pipe A.
- In the first hour, pipe A fills 5 units.
- In the second hour, pipe B fills 4 units.
- In the third hour, pipe A fills 5 units.
- In the fourth hour, pipe B fills 4 units.
- And so on...
We can see that in every two hours, the total work done is 5+4=9 units.
To find the total time taken to fill the tank, we need to find how many times 2 hours go into 60 units. This can be done as follows:
- In 2 hours, 9 units are filled.
- In 4 hours, 18 units are filled.
- In 6 hours, 27 units are filled.
- In 8 hours, 36 units are filled.
- In 10 hours, 45 units are filled.
- In 12 hours, 54 units are filled.
- In 12 and a half hours, 57.5 units are filled.
- In 13 hours, 60 units are filled.
Therefore, the tank will be full in 13 hours.
Answer: Option (a) 13 hrs.
Free Test
FREE
| Start Free Test |
Community Answer
Two pipes A and B can fill a tank in 12 hours and 15 hours respectivel...
A = 12 hours, B = 15 hours
Total work = LCM(12,15) = 60
So efficiency of A = 60/12 = 5, efficiency of B = 60/15 = 4
2 hrs work of (A+B) = 5+4 = 9
2*6(12) hours work of (A+B) = 9*6 = 54
So remaining work = 60-54 = 6
Now A’s turn at 13th hour, he will do remaining work(6) in 6/12 hr
So total 12 1/2 hrs
Total work = LCM(12,15) = 60
So efficiency of A = 60/12 = 5, efficiency of B = 60/15 = 4
2 hrs work of (A+B) = 5+4 = 9
2*6(12) hours work of (A+B) = 9*6 = 54
So remaining work = 60-54 = 6
Now A’s turn at 13th hour, he will do remaining work(6) in 6/12 hr
So total 12 1/2 hrs
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
Two pipes A and B can fill a tank in 12 hours and 15 hours respectively. If they are opened on alternate hours with pipe A opened first, then in how many hours the tank will be full?a)13 hrsb)14 1/2 hrsc)12 hrsd)12 1/2 hrse)10 2/3 hrsCorrect answer is option 'D'. Can you explain this answer?
Question Description
Two pipes A and B can fill a tank in 12 hours and 15 hours respectively. If they are opened on alternate hours with pipe A opened first, then in how many hours the tank will be full?a)13 hrsb)14 1/2 hrsc)12 hrsd)12 1/2 hrse)10 2/3 hrsCorrect answer is option 'D'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Two pipes A and B can fill a tank in 12 hours and 15 hours respectively. If they are opened on alternate hours with pipe A opened first, then in how many hours the tank will be full?a)13 hrsb)14 1/2 hrsc)12 hrsd)12 1/2 hrse)10 2/3 hrsCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two pipes A and B can fill a tank in 12 hours and 15 hours respectively. If they are opened on alternate hours with pipe A opened first, then in how many hours the tank will be full?a)13 hrsb)14 1/2 hrsc)12 hrsd)12 1/2 hrse)10 2/3 hrsCorrect answer is option 'D'. Can you explain this answer?.
Two pipes A and B can fill a tank in 12 hours and 15 hours respectively. If they are opened on alternate hours with pipe A opened first, then in how many hours the tank will be full?a)13 hrsb)14 1/2 hrsc)12 hrsd)12 1/2 hrse)10 2/3 hrsCorrect answer is option 'D'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Two pipes A and B can fill a tank in 12 hours and 15 hours respectively. If they are opened on alternate hours with pipe A opened first, then in how many hours the tank will be full?a)13 hrsb)14 1/2 hrsc)12 hrsd)12 1/2 hrse)10 2/3 hrsCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two pipes A and B can fill a tank in 12 hours and 15 hours respectively. If they are opened on alternate hours with pipe A opened first, then in how many hours the tank will be full?a)13 hrsb)14 1/2 hrsc)12 hrsd)12 1/2 hrse)10 2/3 hrsCorrect answer is option 'D'. Can you explain this answer?.
Solutions for Two pipes A and B can fill a tank in 12 hours and 15 hours respectively. If they are opened on alternate hours with pipe A opened first, then in how many hours the tank will be full?a)13 hrsb)14 1/2 hrsc)12 hrsd)12 1/2 hrse)10 2/3 hrsCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of Two pipes A and B can fill a tank in 12 hours and 15 hours respectively. If they are opened on alternate hours with pipe A opened first, then in how many hours the tank will be full?a)13 hrsb)14 1/2 hrsc)12 hrsd)12 1/2 hrse)10 2/3 hrsCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Two pipes A and B can fill a tank in 12 hours and 15 hours respectively. If they are opened on alternate hours with pipe A opened first, then in how many hours the tank will be full?a)13 hrsb)14 1/2 hrsc)12 hrsd)12 1/2 hrse)10 2/3 hrsCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for Two pipes A and B can fill a tank in 12 hours and 15 hours respectively. If they are opened on alternate hours with pipe A opened first, then in how many hours the tank will be full?a)13 hrsb)14 1/2 hrsc)12 hrsd)12 1/2 hrse)10 2/3 hrsCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of Two pipes A and B can fill a tank in 12 hours and 15 hours respectively. If they are opened on alternate hours with pipe A opened first, then in how many hours the tank will be full?a)13 hrsb)14 1/2 hrsc)12 hrsd)12 1/2 hrse)10 2/3 hrsCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Two pipes A and B can fill a tank in 12 hours and 15 hours respectively. If they are opened on alternate hours with pipe A opened first, then in how many hours the tank will be full?a)13 hrsb)14 1/2 hrsc)12 hrsd)12 1/2 hrse)10 2/3 hrsCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup on EduRev and stay on top of your study goals
10M+ students crushing their study goals daily