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There are three taps A, B and C in a tank. They can fill the tank in 25 hrs, 20 hrs and 10 hrs respectively. At first all of them are opened simultaneously. Then after 1 hrs, tap C is closed and tap A and B are kept running. After the 4th hour, tap B is also closed. The remaining work is done by tap A alone.
Find the percentage of work done by tap A itself?
Find the percentage of work done by tap A itself?
- a)72%
- b)70%
- c)71%
- d)65%
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
There are three taps A, B and C in a tank. They can fill the tank in 2...
Tap A can fill the tank in 25 hrs.
Tap B cab fill the tank in 20 hrs.
Tap C can fill the tank in 10 hrs.
Total volume of the tank filled by 3 pipes = LCM of (25, 20, 10) = 100 units
⇒ Pipe A can fill 4 units of water in 1 hr.
⇒ Pipe B can fill 5 units of water in 1 hr.
⇒ Pipe C can fill 10 units of water in 1 hr.
⇒ Pipe (A + B + C) can fill 19 units of water in 1 hr.
According to question,
Pipe (A + B + C) are opened for 1 hr, then tap C is closed.
⇒ 19 units of water are filled in the tank.
After 4th hr, tap B is also closed
⇒ for 3 hrs, pipe A and B are open
⇒ (4 + 5) × 3 = 27 units of water are filled.
⇒ 100 - (19 + 27) = 54 units of water are filled by tap A alone.
Total units of water filled by tap A is 4 × 1 + 4 × 3 + 54 = 4 + 12 + 54 = 70 units
∴ Percentage of work done by tap A = 70%
Most Upvoted Answer
There are three taps A, B and C in a tank. They can fill the tank in 2...
Given Information:
- Tap A can fill the tank in 25 hours.
- Tap B can fill the tank in 20 hours.
- Tap C can fill the tank in 10 hours.
- All taps are opened simultaneously for the first hour.
- After the first hour, tap C is closed and only taps A and B are kept running.
- After the fourth hour, tap B is also closed.
- The remaining work is done by tap A alone.
Calculation:
Let's assume the capacity of the tank is 100 units.
Work done by each tap in 1 hour:
- Tap A can fill 100/25 = 4 units of the tank in 1 hour.
- Tap B can fill 100/20 = 5 units of the tank in 1 hour.
- Tap C can fill 100/10 = 10 units of the tank in 1 hour.
Work done in the first hour:
- Since all taps are opened simultaneously, the total work done in the first hour is 4 + 5 + 10 = 19 units.
Work done in the second and third hour:
- After the first hour, only taps A and B are running.
- So, the work done in the second and third hour is (4 + 5) * 2 = 18 units.
Work done in the fourth hour:
- After the fourth hour, tap B is closed and only tap A is running.
- So, the work done in the fourth hour is 4 units.
Remaining work:
- The total capacity of the tank is 100 units.
- The work done in the first four hours is 19 + 18 + 4 = 41 units.
- Therefore, the remaining work is 100 - 41 = 59 units.
Work done by tap A alone:
- The remaining work of 59 units is done by tap A alone.
- Since tap A can fill 4 units of the tank in 1 hour, it will take 59/4 = 14.75 hours for tap A to complete the remaining work.
Percentage of work done by tap A:
- The total time taken to complete the remaining work is 14.75 hours.
- The total time taken to fill the tank by all taps is 4 hours (first four hours) + 14.75 hours (remaining work by tap A) = 18.75 hours.
- The percentage of work done by tap A is (14.75 / 18.75) * 100 = 78.67%.
Therefore, the percentage of work done by tap A itself is approximately 78.67%, which is closest to option 'b' (70%).
- Tap A can fill the tank in 25 hours.
- Tap B can fill the tank in 20 hours.
- Tap C can fill the tank in 10 hours.
- All taps are opened simultaneously for the first hour.
- After the first hour, tap C is closed and only taps A and B are kept running.
- After the fourth hour, tap B is also closed.
- The remaining work is done by tap A alone.
Calculation:
Let's assume the capacity of the tank is 100 units.
Work done by each tap in 1 hour:
- Tap A can fill 100/25 = 4 units of the tank in 1 hour.
- Tap B can fill 100/20 = 5 units of the tank in 1 hour.
- Tap C can fill 100/10 = 10 units of the tank in 1 hour.
Work done in the first hour:
- Since all taps are opened simultaneously, the total work done in the first hour is 4 + 5 + 10 = 19 units.
Work done in the second and third hour:
- After the first hour, only taps A and B are running.
- So, the work done in the second and third hour is (4 + 5) * 2 = 18 units.
Work done in the fourth hour:
- After the fourth hour, tap B is closed and only tap A is running.
- So, the work done in the fourth hour is 4 units.
Remaining work:
- The total capacity of the tank is 100 units.
- The work done in the first four hours is 19 + 18 + 4 = 41 units.
- Therefore, the remaining work is 100 - 41 = 59 units.
Work done by tap A alone:
- The remaining work of 59 units is done by tap A alone.
- Since tap A can fill 4 units of the tank in 1 hour, it will take 59/4 = 14.75 hours for tap A to complete the remaining work.
Percentage of work done by tap A:
- The total time taken to complete the remaining work is 14.75 hours.
- The total time taken to fill the tank by all taps is 4 hours (first four hours) + 14.75 hours (remaining work by tap A) = 18.75 hours.
- The percentage of work done by tap A is (14.75 / 18.75) * 100 = 78.67%.
Therefore, the percentage of work done by tap A itself is approximately 78.67%, which is closest to option 'b' (70%).
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There are three taps A, B and C in a tank. They can fill the tank in 25 hrs, 20 hrs and 10 hrs respectively. At first all of them are opened simultaneously. Then after 1 hrs, tap C is closed and tap A and B are kept running. After the 4thhour, tap B is also closed. The remaining work is done by tap A alone.Find the percentage of work done by tap A itself?a)72%b)70%c)71%d)65%Correct answer is option 'B'. Can you explain this answer?
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There are three taps A, B and C in a tank. They can fill the tank in 25 hrs, 20 hrs and 10 hrs respectively. At first all of them are opened simultaneously. Then after 1 hrs, tap C is closed and tap A and B are kept running. After the 4thhour, tap B is also closed. The remaining work is done by tap A alone.Find the percentage of work done by tap A itself?a)72%b)70%c)71%d)65%Correct answer is option 'B'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about There are three taps A, B and C in a tank. They can fill the tank in 25 hrs, 20 hrs and 10 hrs respectively. At first all of them are opened simultaneously. Then after 1 hrs, tap C is closed and tap A and B are kept running. After the 4thhour, tap B is also closed. The remaining work is done by tap A alone.Find the percentage of work done by tap A itself?a)72%b)70%c)71%d)65%Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are three taps A, B and C in a tank. They can fill the tank in 25 hrs, 20 hrs and 10 hrs respectively. At first all of them are opened simultaneously. Then after 1 hrs, tap C is closed and tap A and B are kept running. After the 4thhour, tap B is also closed. The remaining work is done by tap A alone.Find the percentage of work done by tap A itself?a)72%b)70%c)71%d)65%Correct answer is option 'B'. Can you explain this answer?.
There are three taps A, B and C in a tank. They can fill the tank in 25 hrs, 20 hrs and 10 hrs respectively. At first all of them are opened simultaneously. Then after 1 hrs, tap C is closed and tap A and B are kept running. After the 4thhour, tap B is also closed. The remaining work is done by tap A alone.Find the percentage of work done by tap A itself?a)72%b)70%c)71%d)65%Correct answer is option 'B'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about There are three taps A, B and C in a tank. They can fill the tank in 25 hrs, 20 hrs and 10 hrs respectively. At first all of them are opened simultaneously. Then after 1 hrs, tap C is closed and tap A and B are kept running. After the 4thhour, tap B is also closed. The remaining work is done by tap A alone.Find the percentage of work done by tap A itself?a)72%b)70%c)71%d)65%Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are three taps A, B and C in a tank. They can fill the tank in 25 hrs, 20 hrs and 10 hrs respectively. At first all of them are opened simultaneously. Then after 1 hrs, tap C is closed and tap A and B are kept running. After the 4thhour, tap B is also closed. The remaining work is done by tap A alone.Find the percentage of work done by tap A itself?a)72%b)70%c)71%d)65%Correct answer is option 'B'. Can you explain this answer?.
Solutions for There are three taps A, B and C in a tank. They can fill the tank in 25 hrs, 20 hrs and 10 hrs respectively. At first all of them are opened simultaneously. Then after 1 hrs, tap C is closed and tap A and B are kept running. After the 4thhour, tap B is also closed. The remaining work is done by tap A alone.Find the percentage of work done by tap A itself?a)72%b)70%c)71%d)65%Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Banking Exams.
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There are three taps A, B and C in a tank. They can fill the tank in 25 hrs, 20 hrs and 10 hrs respectively. At first all of them are opened simultaneously. Then after 1 hrs, tap C is closed and tap A and B are kept running. After the 4thhour, tap B is also closed. The remaining work is done by tap A alone.Find the percentage of work done by tap A itself?a)72%b)70%c)71%d)65%Correct answer is option 'B'. Can you explain this answer?, a detailed solution for There are three taps A, B and C in a tank. They can fill the tank in 25 hrs, 20 hrs and 10 hrs respectively. At first all of them are opened simultaneously. Then after 1 hrs, tap C is closed and tap A and B are kept running. After the 4thhour, tap B is also closed. The remaining work is done by tap A alone.Find the percentage of work done by tap A itself?a)72%b)70%c)71%d)65%Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of There are three taps A, B and C in a tank. They can fill the tank in 25 hrs, 20 hrs and 10 hrs respectively. At first all of them are opened simultaneously. Then after 1 hrs, tap C is closed and tap A and B are kept running. After the 4thhour, tap B is also closed. The remaining work is done by tap A alone.Find the percentage of work done by tap A itself?a)72%b)70%c)71%d)65%Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice There are three taps A, B and C in a tank. They can fill the tank in 25 hrs, 20 hrs and 10 hrs respectively. At first all of them are opened simultaneously. Then after 1 hrs, tap C is closed and tap A and B are kept running. After the 4thhour, tap B is also closed. The remaining work is done by tap A alone.Find the percentage of work done by tap A itself?a)72%b)70%c)71%d)65%Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice Banking Exams tests.
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