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There are three Taps A, B and C in a tank. They can fill the tank in 10 hrs, 20 hrs and 25 hrs respectively. At first, all of them are opened simultaneously. Then after 2 hours tap C is closed and 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 the work done by Tap A by itself.
- a)32%
- b)52%
- c)75%
- d)None of these
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
There are three Taps A, B and C in a tank. They can fill the tank in ...
So remaining part after 5 hour is
32/10 = 3.2 hours
% of work done by A
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Community Answer
There are three Taps A, B and C in a tank. They can fill the tank in ...
Solution:
Let the capacity of the tank be ‘x’.
Total time taken to fill the tank by all three taps together = 10 hrs
Therefore, in 1 hour, they can fill 1/10th part of the tank.
Similarly, Tap B can fill 1/20th part of the tank in 1 hour and Tap C can fill 1/25th part of the tank in 1 hour.
After 2 hours, Tap C is closed and A and B are kept running.
Therefore, in the first 2 hours, the combined work done by all three taps = (1/10 + 1/20 + 1/25) × 2x
= (13/100) × 2x
= (13/50)x
After the 4th hour, Tap B is also closed.
Therefore, in the next 2 hours, the work done by Tap A and Tap C together = (1/10 + 1/25) × 2x
= (7/50)x
Thus, the total work done in the first 4 hours = (13/50)x + (7/50)x
= (4/5)x
The remaining work is done by Tap A alone.
Therefore, the work done by Tap A alone = x – (4/5)x
= (1/5)x
Hence, the percentage of the work done by Tap A alone = [(1/5)x / x] × 100%
= 20%
Therefore, the correct option is (d) None of these.
Let the capacity of the tank be ‘x’.
Total time taken to fill the tank by all three taps together = 10 hrs
Therefore, in 1 hour, they can fill 1/10th part of the tank.
Similarly, Tap B can fill 1/20th part of the tank in 1 hour and Tap C can fill 1/25th part of the tank in 1 hour.
After 2 hours, Tap C is closed and A and B are kept running.
Therefore, in the first 2 hours, the combined work done by all three taps = (1/10 + 1/20 + 1/25) × 2x
= (13/100) × 2x
= (13/50)x
After the 4th hour, Tap B is also closed.
Therefore, in the next 2 hours, the work done by Tap A and Tap C together = (1/10 + 1/25) × 2x
= (7/50)x
Thus, the total work done in the first 4 hours = (13/50)x + (7/50)x
= (4/5)x
The remaining work is done by Tap A alone.
Therefore, the work done by Tap A alone = x – (4/5)x
= (1/5)x
Hence, the percentage of the work done by Tap A alone = [(1/5)x / x] × 100%
= 20%
Therefore, the correct option is (d) None of these.
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There are three Taps A, B and C in a tank. They can fill the tank in 10 hrs, 20 hrs and 25 hrs respectively. At first, all of them are opened simultaneously. Then after 2 hours tap C is closed and 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 the work done by Tap A by itself.a)32%b)52%c)75%d)None of theseCorrect answer is option 'D'. 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 10 hrs, 20 hrs and 25 hrs respectively. At first, all of them are opened simultaneously. Then after 2 hours tap C is closed and 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 the work done by Tap A by itself.a)32%b)52%c)75%d)None of theseCorrect answer is option 'D'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about There are three Taps A, B and C in a tank. They can fill the tank in 10 hrs, 20 hrs and 25 hrs respectively. At first, all of them are opened simultaneously. Then after 2 hours tap C is closed and 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 the work done by Tap A by itself.a)32%b)52%c)75%d)None of theseCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 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 10 hrs, 20 hrs and 25 hrs respectively. At first, all of them are opened simultaneously. Then after 2 hours tap C is closed and 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 the work done by Tap A by itself.a)32%b)52%c)75%d)None of theseCorrect answer is option 'D'. Can you explain this answer?.
There are three Taps A, B and C in a tank. They can fill the tank in 10 hrs, 20 hrs and 25 hrs respectively. At first, all of them are opened simultaneously. Then after 2 hours tap C is closed and 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 the work done by Tap A by itself.a)32%b)52%c)75%d)None of theseCorrect answer is option 'D'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about There are three Taps A, B and C in a tank. They can fill the tank in 10 hrs, 20 hrs and 25 hrs respectively. At first, all of them are opened simultaneously. Then after 2 hours tap C is closed and 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 the work done by Tap A by itself.a)32%b)52%c)75%d)None of theseCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 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 10 hrs, 20 hrs and 25 hrs respectively. At first, all of them are opened simultaneously. Then after 2 hours tap C is closed and 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 the work done by Tap A by itself.a)32%b)52%c)75%d)None of theseCorrect answer is option 'D'. 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 10 hrs, 20 hrs and 25 hrs respectively. At first, all of them are opened simultaneously. Then after 2 hours tap C is closed and 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 the work done by Tap A by itself.a)32%b)52%c)75%d)None of theseCorrect answer is option 'D'. 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 10 hrs, 20 hrs and 25 hrs respectively. At first, all of them are opened simultaneously. Then after 2 hours tap C is closed and 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 the work done by Tap A by itself.a)32%b)52%c)75%d)None of theseCorrect answer is option 'D'. 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 10 hrs, 20 hrs and 25 hrs respectively. At first, all of them are opened simultaneously. Then after 2 hours tap C is closed and 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 the work done by Tap A by itself.a)32%b)52%c)75%d)None of theseCorrect answer is option 'D'. 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 10 hrs, 20 hrs and 25 hrs respectively. At first, all of them are opened simultaneously. Then after 2 hours tap C is closed and 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 the work done by Tap A by itself.a)32%b)52%c)75%d)None of theseCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice JEE tests.
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