Electronics and Communication Engineering (ECE) Exam > Electronics and Communication Engineering (ECE) Questions > Two pipes can fill a tank in 15 minutes and 2...
Start Learning for Free
Two pipes can fill a tank in 15 minutes and 25 minutes respectively. Both the pipes are opened together and after some time, the first pipe is closed and the tank is completely full in 15 minutes. For how many minutes is the first pipe opened?
- a)5 minutes
- b)6 minutes
- c)7 minutes
- d)8 minutes
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Two pipes can fill a tank in 15 minutes and 25 minutes respectively. B...
t = 6 min.
Most Upvoted Answer
Two pipes can fill a tank in 15 minutes and 25 minutes respectively. B...
Given:
- The first pipe can fill the tank in 15 minutes.
- The second pipe can fill the tank in 25 minutes.
To Find:
- For how many minutes is the first pipe opened?
Explanation:
Step 1: Calculating the rate of filling
- Let's assume the capacity of the tank is 1 unit (for simplicity).
- The first pipe can fill the tank in 15 minutes, so its rate of filling is 1/15 units per minute.
- The second pipe can fill the tank in 25 minutes, so its rate of filling is 1/25 units per minute.
Step 2: Understanding the scenario
- Both pipes are opened together, and after some time, the first pipe is closed and the tank is completely full in 15 minutes.
- Let's assume the first pipe was opened for 'x' minutes.
Step 3: Calculating the amount filled by each pipe
- The first pipe was opened for 'x' minutes, so it filled (x/15) units of the tank.
- The second pipe was opened for (15 - x) minutes, so it filled ((15 - x)/25) units of the tank.
Step 4: Equating the amount filled with the tank capacity
- The total amount filled by both pipes should be equal to the capacity of the tank, which is 1 unit.
- So, (x/15) + ((15 - x)/25) = 1
Step 5: Solving the equation
- Multiplying the equation by 375 (common multiple of 15 and 25) to eliminate the denominators, we get:
25x + 15(15 - x) = 375
25x + 225 - 15x = 375
10x = 150
x = 15
Step 6: Calculating the time for which the first pipe was opened
- We found that 'x' is 15, which represents the time for which the first pipe was opened.
- Therefore, the first pipe was opened for 15 minutes.
Answer:
- The first pipe was opened for 15 minutes, which is option 'B'.
- The first pipe can fill the tank in 15 minutes.
- The second pipe can fill the tank in 25 minutes.
To Find:
- For how many minutes is the first pipe opened?
Explanation:
Step 1: Calculating the rate of filling
- Let's assume the capacity of the tank is 1 unit (for simplicity).
- The first pipe can fill the tank in 15 minutes, so its rate of filling is 1/15 units per minute.
- The second pipe can fill the tank in 25 minutes, so its rate of filling is 1/25 units per minute.
Step 2: Understanding the scenario
- Both pipes are opened together, and after some time, the first pipe is closed and the tank is completely full in 15 minutes.
- Let's assume the first pipe was opened for 'x' minutes.
Step 3: Calculating the amount filled by each pipe
- The first pipe was opened for 'x' minutes, so it filled (x/15) units of the tank.
- The second pipe was opened for (15 - x) minutes, so it filled ((15 - x)/25) units of the tank.
Step 4: Equating the amount filled with the tank capacity
- The total amount filled by both pipes should be equal to the capacity of the tank, which is 1 unit.
- So, (x/15) + ((15 - x)/25) = 1
Step 5: Solving the equation
- Multiplying the equation by 375 (common multiple of 15 and 25) to eliminate the denominators, we get:
25x + 15(15 - x) = 375
25x + 225 - 15x = 375
10x = 150
x = 15
Step 6: Calculating the time for which the first pipe was opened
- We found that 'x' is 15, which represents the time for which the first pipe was opened.
- Therefore, the first pipe was opened for 15 minutes.
Answer:
- The first pipe was opened for 15 minutes, which is option 'B'.
Attention Electronics and Communication Engineering (ECE) Students!
To make sure you are not studying endlessly, EduRev has designed Electronics and Communication Engineering (ECE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Electronics and Communication Engineering (ECE).
|
Explore Courses for Electronics and Communication Engineering (ECE) exam
|
|
Similar Electronics and Communication Engineering (ECE) Doubts
Top Courses for Electronics and Communication Engineering (ECE)View all
Two pipes can fill a tank in 15 minutes and 25 minutes respectively. Both the pipes are opened together and after some time, the first pipe is closed and the tank is completely full in 15 minutes. For how many minutes is the first pipe opened?a)5 minutesb)6 minutesc)7 minutesd)8 minutesCorrect answer is option 'B'. Can you explain this answer?
Question Description
Two pipes can fill a tank in 15 minutes and 25 minutes respectively. Both the pipes are opened together and after some time, the first pipe is closed and the tank is completely full in 15 minutes. For how many minutes is the first pipe opened?a)5 minutesb)6 minutesc)7 minutesd)8 minutesCorrect answer is option 'B'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2024 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about Two pipes can fill a tank in 15 minutes and 25 minutes respectively. Both the pipes are opened together and after some time, the first pipe is closed and the tank is completely full in 15 minutes. For how many minutes is the first pipe opened?a)5 minutesb)6 minutesc)7 minutesd)8 minutesCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two pipes can fill a tank in 15 minutes and 25 minutes respectively. Both the pipes are opened together and after some time, the first pipe is closed and the tank is completely full in 15 minutes. For how many minutes is the first pipe opened?a)5 minutesb)6 minutesc)7 minutesd)8 minutesCorrect answer is option 'B'. Can you explain this answer?.
Two pipes can fill a tank in 15 minutes and 25 minutes respectively. Both the pipes are opened together and after some time, the first pipe is closed and the tank is completely full in 15 minutes. For how many minutes is the first pipe opened?a)5 minutesb)6 minutesc)7 minutesd)8 minutesCorrect answer is option 'B'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2024 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about Two pipes can fill a tank in 15 minutes and 25 minutes respectively. Both the pipes are opened together and after some time, the first pipe is closed and the tank is completely full in 15 minutes. For how many minutes is the first pipe opened?a)5 minutesb)6 minutesc)7 minutesd)8 minutesCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two pipes can fill a tank in 15 minutes and 25 minutes respectively. Both the pipes are opened together and after some time, the first pipe is closed and the tank is completely full in 15 minutes. For how many minutes is the first pipe opened?a)5 minutesb)6 minutesc)7 minutesd)8 minutesCorrect answer is option 'B'. Can you explain this answer?.
Solutions for Two pipes can fill a tank in 15 minutes and 25 minutes respectively. Both the pipes are opened together and after some time, the first pipe is closed and the tank is completely full in 15 minutes. For how many minutes is the first pipe opened?a)5 minutesb)6 minutesc)7 minutesd)8 minutesCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Electronics and Communication Engineering (ECE).
Download more important topics, notes, lectures and mock test series for Electronics and Communication Engineering (ECE) Exam by signing up for free.
Here you can find the meaning of Two pipes can fill a tank in 15 minutes and 25 minutes respectively. Both the pipes are opened together and after some time, the first pipe is closed and the tank is completely full in 15 minutes. For how many minutes is the first pipe opened?a)5 minutesb)6 minutesc)7 minutesd)8 minutesCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Two pipes can fill a tank in 15 minutes and 25 minutes respectively. Both the pipes are opened together and after some time, the first pipe is closed and the tank is completely full in 15 minutes. For how many minutes is the first pipe opened?a)5 minutesb)6 minutesc)7 minutesd)8 minutesCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Two pipes can fill a tank in 15 minutes and 25 minutes respectively. Both the pipes are opened together and after some time, the first pipe is closed and the tank is completely full in 15 minutes. For how many minutes is the first pipe opened?a)5 minutesb)6 minutesc)7 minutesd)8 minutesCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of Two pipes can fill a tank in 15 minutes and 25 minutes respectively. Both the pipes are opened together and after some time, the first pipe is closed and the tank is completely full in 15 minutes. For how many minutes is the first pipe opened?a)5 minutesb)6 minutesc)7 minutesd)8 minutesCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Two pipes can fill a tank in 15 minutes and 25 minutes respectively. Both the pipes are opened together and after some time, the first pipe is closed and the tank is completely full in 15 minutes. For how many minutes is the first pipe opened?a)5 minutesb)6 minutesc)7 minutesd)8 minutesCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Electronics and Communication Engineering (ECE) tests.
|
|
Explore Courses for Electronics and Communication Engineering (ECE) exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
x
![]()
For Your Perfect Score in Electronics and Communication Engineering (ECE)
The Best you need at One Place
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup