Defence Exam > Defence Questions > A tank can be filled by a tap in 10 minutes a...
Start Learning for Free
A tank can be filled by a tap in 10 minutes and by another tap in 30 minutes. Both the taps are kept open for 5 minutes and then the first tap is shut off. After this, the tank, will be filled in what time?
- a)25 minutes
- b)15 minutes
- c)10 minutes
- d)20 minutes
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A tank can be filled by a tap in 10 minutes and by another tap in 30 m...
GIVEN:
Tap A fill the tank in 10 minutes and Tap B fill the tank in 30 minutes
FORMULA USED:
Remaining work = 1 - (A + B)’s 5-minute work
CALCULATION:
Part filled by Tap A in 1 minute = 1/10
Part filled by Tap B in 1 minute = 1/30
(A + B)’s 5-minute work = 5 × (1/10 + 1/30)
= 5 × ((3 + 1)/30)
= 5 × (4/30)
= 2/3
Remaining work = 1 - 2/3 = 1/3
1/30th Part filled by Tap B in = 1 minute
1/3rd Part will be filled in = (1/3)/(1/30)
= 30/3
= 10 minutes
Alternate method:
Let total capacity of tank = LCM of (10, 30) = 30 L
So, A can fill in 1 minute = 30/10 = 3L and B can fill in 1 minute = 30/30 = 1L
So, both taps together filled in 5 minutes = (3 + 1) × 5 = 4 × 5 = 20 L
So remaining tank = 30 - 20 = 10
So this 10L is completed filled by B tap = 10/1 = 10 minutes
Most Upvoted Answer
A tank can be filled by a tap in 10 minutes and by another tap in 30 m...
To solve this problem, we can use the concept of rates. Let's say the first tap can fill the tank at a rate of 1 unit per minute, and the second tap can fill the tank at a rate of 1/3 units per minute.
First Scenario: Both taps are open for 5 minutes
In this scenario, both taps are open for 5 minutes, so we need to calculate the amount of water filled by both taps in 5 minutes.
- The first tap can fill the tank at a rate of 1 unit per minute, so in 5 minutes, it will fill 5 units of water.
- The second tap can fill the tank at a rate of 1/3 units per minute, so in 5 minutes, it will fill (5/3) units of water.
Therefore, in the first scenario, the tank will be filled with a total of (5 + 5/3) units of water.
Second Scenario: First tap is shut off
After 5 minutes, the first tap is shut off, and only the second tap is open. Now we need to calculate the time it takes for the second tap to fill the remaining portion of the tank.
- The second tap can fill the tank at a rate of 1/3 units per minute.
- The remaining portion of the tank to be filled is (1 - 5 - 5/3) units.
Let's denote the time taken by the second tap to fill the remaining portion as T.
Therefore, according to the formula of rate * time = work done, we can write the equation:
(1/3) * T = (1 - 5 - 5/3)
Simplifying the equation, we get:
T = 3(1 - 5 - 5/3)
T = 3(3/3 - 15/3 - 5/3)
T = 3(-17/3)
T = -17 minutes
Since time cannot be negative, we discard the negative value and take the absolute value.
Therefore, the time taken by the second tap to fill the remaining portion is 17 minutes.
Final Answer:
The tank will be filled in a total time of (5 + 5/3 + 17) minutes, which is equal to 10 minutes.
Thus, the correct answer is option 'C': 10 minutes.
First Scenario: Both taps are open for 5 minutes
In this scenario, both taps are open for 5 minutes, so we need to calculate the amount of water filled by both taps in 5 minutes.
- The first tap can fill the tank at a rate of 1 unit per minute, so in 5 minutes, it will fill 5 units of water.
- The second tap can fill the tank at a rate of 1/3 units per minute, so in 5 minutes, it will fill (5/3) units of water.
Therefore, in the first scenario, the tank will be filled with a total of (5 + 5/3) units of water.
Second Scenario: First tap is shut off
After 5 minutes, the first tap is shut off, and only the second tap is open. Now we need to calculate the time it takes for the second tap to fill the remaining portion of the tank.
- The second tap can fill the tank at a rate of 1/3 units per minute.
- The remaining portion of the tank to be filled is (1 - 5 - 5/3) units.
Let's denote the time taken by the second tap to fill the remaining portion as T.
Therefore, according to the formula of rate * time = work done, we can write the equation:
(1/3) * T = (1 - 5 - 5/3)
Simplifying the equation, we get:
T = 3(1 - 5 - 5/3)
T = 3(3/3 - 15/3 - 5/3)
T = 3(-17/3)
T = -17 minutes
Since time cannot be negative, we discard the negative value and take the absolute value.
Therefore, the time taken by the second tap to fill the remaining portion is 17 minutes.
Final Answer:
The tank will be filled in a total time of (5 + 5/3 + 17) minutes, which is equal to 10 minutes.
Thus, the correct answer is option 'C': 10 minutes.
|
Explore Courses for Defence exam
|
|
Similar Defence Doubts
A tank can be filled by a tap in 10 minutes and by another tap in 30 minutes. Both the taps are kept open for 5 minutes and then the first tap is shut off. After this, the tank, will be filled in what time?a)25 minutesb)15 minutesc)10 minutesd)20 minutesCorrect answer is option 'C'. Can you explain this answer?
Question Description
A tank can be filled by a tap in 10 minutes and by another tap in 30 minutes. Both the taps are kept open for 5 minutes and then the first tap is shut off. After this, the tank, will be filled in what time?a)25 minutesb)15 minutesc)10 minutesd)20 minutesCorrect answer is option 'C'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about A tank can be filled by a tap in 10 minutes and by another tap in 30 minutes. Both the taps are kept open for 5 minutes and then the first tap is shut off. After this, the tank, will be filled in what time?a)25 minutesb)15 minutesc)10 minutesd)20 minutesCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A tank can be filled by a tap in 10 minutes and by another tap in 30 minutes. Both the taps are kept open for 5 minutes and then the first tap is shut off. After this, the tank, will be filled in what time?a)25 minutesb)15 minutesc)10 minutesd)20 minutesCorrect answer is option 'C'. Can you explain this answer?.
A tank can be filled by a tap in 10 minutes and by another tap in 30 minutes. Both the taps are kept open for 5 minutes and then the first tap is shut off. After this, the tank, will be filled in what time?a)25 minutesb)15 minutesc)10 minutesd)20 minutesCorrect answer is option 'C'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about A tank can be filled by a tap in 10 minutes and by another tap in 30 minutes. Both the taps are kept open for 5 minutes and then the first tap is shut off. After this, the tank, will be filled in what time?a)25 minutesb)15 minutesc)10 minutesd)20 minutesCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A tank can be filled by a tap in 10 minutes and by another tap in 30 minutes. Both the taps are kept open for 5 minutes and then the first tap is shut off. After this, the tank, will be filled in what time?a)25 minutesb)15 minutesc)10 minutesd)20 minutesCorrect answer is option 'C'. Can you explain this answer?.
Solutions for A tank can be filled by a tap in 10 minutes and by another tap in 30 minutes. Both the taps are kept open for 5 minutes and then the first tap is shut off. After this, the tank, will be filled in what time?a)25 minutesb)15 minutesc)10 minutesd)20 minutesCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Defence.
Download more important topics, notes, lectures and mock test series for Defence Exam by signing up for free.
Here you can find the meaning of A tank can be filled by a tap in 10 minutes and by another tap in 30 minutes. Both the taps are kept open for 5 minutes and then the first tap is shut off. After this, the tank, will be filled in what time?a)25 minutesb)15 minutesc)10 minutesd)20 minutesCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A tank can be filled by a tap in 10 minutes and by another tap in 30 minutes. Both the taps are kept open for 5 minutes and then the first tap is shut off. After this, the tank, will be filled in what time?a)25 minutesb)15 minutesc)10 minutesd)20 minutesCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for A tank can be filled by a tap in 10 minutes and by another tap in 30 minutes. Both the taps are kept open for 5 minutes and then the first tap is shut off. After this, the tank, will be filled in what time?a)25 minutesb)15 minutesc)10 minutesd)20 minutesCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of A tank can be filled by a tap in 10 minutes and by another tap in 30 minutes. Both the taps are kept open for 5 minutes and then the first tap is shut off. After this, the tank, will be filled in what time?a)25 minutesb)15 minutesc)10 minutesd)20 minutesCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A tank can be filled by a tap in 10 minutes and by another tap in 30 minutes. Both the taps are kept open for 5 minutes and then the first tap is shut off. After this, the tank, will be filled in what time?a)25 minutesb)15 minutesc)10 minutesd)20 minutesCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Defence tests.
|
|
Explore Courses for Defence 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 to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup