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Three pipes A, B, and C can fill the tank in 10 hours, 20 hours and 40 hours respectively. In the beginning all of them are opened simultaneously. 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. What is the percentage of the work done by tap A alone?
- a)30 %
- b)35 %
- c)45 %
- d)50 %
- e)None of the Above
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Three pipes A, B, and C can fill the tank in 10 hours, 20 hours and 40...
Pipe A’s work in % = 100/10 = 10%
Pipe B’s work in % = 100/20 = 5%
Pipe C’s work in % = 100/40 = 2.5%
All of them are opened for 2 hours + after 2 hours, tap C is closed + After the 4th hour, tap B is also closed = 100
⇒ (10+5+2.5)*2 + (10+5)*2 + X = 100
⇒ 35 + 30 + work by tap A alone = 100
⇒ work by tap A alone = 100-65 = 35%
Pipe B’s work in % = 100/20 = 5%
Pipe C’s work in % = 100/40 = 2.5%
All of them are opened for 2 hours + after 2 hours, tap C is closed + After the 4th hour, tap B is also closed = 100
⇒ (10+5+2.5)*2 + (10+5)*2 + X = 100
⇒ 35 + 30 + work by tap A alone = 100
⇒ work by tap A alone = 100-65 = 35%
Most Upvoted Answer
Three pipes A, B, and C can fill the tank in 10 hours, 20 hours and 40...
Pipe A’s work in % = 100/10 = 10%
Pipe B’s work in % = 100/20 = 5%
Pipe C’s work in % = 100/40 = 2.5%
All of them are opened for 2 hours + after 2 hours, tap C is closed + After the 4th hour, tap B is also closed = 100
⇒ (10+5+2.5)*2 + (10+5)*2 + X = 100
⇒ 35 + 30 + work by tap A alone = 100
⇒ work by tap A alone = 100-65 = 35%
Pipe B’s work in % = 100/20 = 5%
Pipe C’s work in % = 100/40 = 2.5%
All of them are opened for 2 hours + after 2 hours, tap C is closed + After the 4th hour, tap B is also closed = 100
⇒ (10+5+2.5)*2 + (10+5)*2 + X = 100
⇒ 35 + 30 + work by tap A alone = 100
⇒ work by tap A alone = 100-65 = 35%
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Community Answer
Three pipes A, B, and C can fill the tank in 10 hours, 20 hours and 40...
Problem:
Three pipes A, B, and C can fill the tank in 10 hours, 20 hours and 40 hours respectively. In the beginning, all of them are opened simultaneously. 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. What is the percentage of the work done by tap A alone?
Solution:
Let us assume that the capacity of the tank is ‘L’. We know that the time taken to fill the tank by pipes A, B and C are 10 hours, 20 hours and 40 hours respectively. Hence, the amount of work done by each pipe in one hour can be calculated as follows:
Pipe A can do 1/10th of the work in one hour.
Pipe B can do 1/20th of the work in one hour.
Pipe C can do 1/40th of the work in one hour.
Let us assume that all the pipes are opened simultaneously and after 2 hours, pipe C is closed. Hence, the amount of work done in two hours can be calculated as follows:
Amount of work done by pipe A in 2 hours = 2*(1/10) = 1/5th of the work.
Amount of work done by pipe B in 2 hours = 2*(1/20) = 1/10th of the work.
Amount of work done by pipe C in 2 hours = 2*(1/40) = 1/20th of the work.
Hence, the total amount of work done in 2 hours = 1/5 + 1/10 + 1/20 = 7/20th of the work.
After 2 hours, pipe A and B are kept running and pipe C is closed. After 4 hours, pipe B is also closed. Hence, the amount of work done in 4 hours can be calculated as follows:
Amount of work done by pipe A in 4 hours = 4*(1/10) = 2/5th of the work.
Amount of work done by pipe B in 4 hours = 4*(1/20) = 1/5th of the work.
Amount of work done by pipe C in 2 hours = 0.
Hence, the total amount of work done in 4 hours = 2/5 + 1/5 = 3/5th of the work.
After 4 hours, pipe A is the only pipe running. Hence, the amount of work done by pipe A in the remaining time can be calculated as follows:
Amount of work done by pipe A in the remaining time = 1 – 3/5 = 2/5th of the work.
Therefore, the percentage of the work done by pipe A alone = (2/5) / 1 * 100 = 40%.
Hence, the correct answer is option (b) 35%.
Three pipes A, B, and C can fill the tank in 10 hours, 20 hours and 40 hours respectively. In the beginning, all of them are opened simultaneously. 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. What is the percentage of the work done by tap A alone?
Solution:
Let us assume that the capacity of the tank is ‘L’. We know that the time taken to fill the tank by pipes A, B and C are 10 hours, 20 hours and 40 hours respectively. Hence, the amount of work done by each pipe in one hour can be calculated as follows:
Pipe A can do 1/10th of the work in one hour.
Pipe B can do 1/20th of the work in one hour.
Pipe C can do 1/40th of the work in one hour.
Let us assume that all the pipes are opened simultaneously and after 2 hours, pipe C is closed. Hence, the amount of work done in two hours can be calculated as follows:
Amount of work done by pipe A in 2 hours = 2*(1/10) = 1/5th of the work.
Amount of work done by pipe B in 2 hours = 2*(1/20) = 1/10th of the work.
Amount of work done by pipe C in 2 hours = 2*(1/40) = 1/20th of the work.
Hence, the total amount of work done in 2 hours = 1/5 + 1/10 + 1/20 = 7/20th of the work.
After 2 hours, pipe A and B are kept running and pipe C is closed. After 4 hours, pipe B is also closed. Hence, the amount of work done in 4 hours can be calculated as follows:
Amount of work done by pipe A in 4 hours = 4*(1/10) = 2/5th of the work.
Amount of work done by pipe B in 4 hours = 4*(1/20) = 1/5th of the work.
Amount of work done by pipe C in 2 hours = 0.
Hence, the total amount of work done in 4 hours = 2/5 + 1/5 = 3/5th of the work.
After 4 hours, pipe A is the only pipe running. Hence, the amount of work done by pipe A in the remaining time can be calculated as follows:
Amount of work done by pipe A in the remaining time = 1 – 3/5 = 2/5th of the work.
Therefore, the percentage of the work done by pipe A alone = (2/5) / 1 * 100 = 40%.
Hence, the correct answer is option (b) 35%.
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Three pipes A, B, and C can fill the tank in 10 hours, 20 hours and 40 hours respectively. In the beginning all of them are opened simultaneously. 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. What is the percentage of the work done by tap A alone?a)30 %b)35 %c)45 %d)50 %e)None of the AboveCorrect answer is option 'B'. Can you explain this answer?
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Three pipes A, B, and C can fill the tank in 10 hours, 20 hours and 40 hours respectively. In the beginning all of them are opened simultaneously. 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. What is the percentage of the work done by tap A alone?a)30 %b)35 %c)45 %d)50 %e)None of the AboveCorrect answer is option 'B'. 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 Three pipes A, B, and C can fill the tank in 10 hours, 20 hours and 40 hours respectively. In the beginning all of them are opened simultaneously. 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. What is the percentage of the work done by tap A alone?a)30 %b)35 %c)45 %d)50 %e)None of the AboveCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three pipes A, B, and C can fill the tank in 10 hours, 20 hours and 40 hours respectively. In the beginning all of them are opened simultaneously. 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. What is the percentage of the work done by tap A alone?a)30 %b)35 %c)45 %d)50 %e)None of the AboveCorrect answer is option 'B'. Can you explain this answer?.
Three pipes A, B, and C can fill the tank in 10 hours, 20 hours and 40 hours respectively. In the beginning all of them are opened simultaneously. 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. What is the percentage of the work done by tap A alone?a)30 %b)35 %c)45 %d)50 %e)None of the AboveCorrect answer is option 'B'. 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 Three pipes A, B, and C can fill the tank in 10 hours, 20 hours and 40 hours respectively. In the beginning all of them are opened simultaneously. 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. What is the percentage of the work done by tap A alone?a)30 %b)35 %c)45 %d)50 %e)None of the AboveCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three pipes A, B, and C can fill the tank in 10 hours, 20 hours and 40 hours respectively. In the beginning all of them are opened simultaneously. 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. What is the percentage of the work done by tap A alone?a)30 %b)35 %c)45 %d)50 %e)None of the AboveCorrect answer is option 'B'. Can you explain this answer?.
Solutions for Three pipes A, B, and C can fill the tank in 10 hours, 20 hours and 40 hours respectively. In the beginning all of them are opened simultaneously. 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. What is the percentage of the work done by tap A alone?a)30 %b)35 %c)45 %d)50 %e)None of the AboveCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
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