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Taps P and Q can fill up a jug in 50 seconds and 40 seconds respectively. Tap R (which is attached to the jug) can empty the jug in 30 seconds. If taps P Q and R are opened in tum, in that order, for 3 seconds each, then in how many seconds will the empty jug be filled? (A) 600/7 (B).256 (D) 230.6?
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Taps P and Q can fill up a jug in 50 seconds and 40 seconds respective...
Calculating the combined rate of filling and emptying
- Let's first calculate the rate of filling for each tap:
- Tap P fills 1/50 of the jug in 1 second
- Tap Q fills 1/40 of the jug in 1 second
- Now, let's calculate the rate of emptying for tap R:
- Tap R empties 1/30 of the jug in 1 second
Calculating the net rate of filling
- When taps P, Q, and R are opened in turn for 3 seconds each, the net rate of filling can be calculated as follows:
- For the first 3 seconds, the net rate of filling = (1/50 + 1/40 - 1/30) = (8 + 10 - 12)/240 = 6/240 = 1/40
- This means that 1/40 of the jug is filled in 1 second when all taps are opened in turn for 3 seconds each
Calculating the time taken to fill the jug completely
- Since 1/40 of the jug is filled in 1 second, the time taken to fill the entire jug is 40 seconds
- Therefore, the empty jug will be filled in 40 seconds
Final Answer: (B) 40 seconds
- Let's first calculate the rate of filling for each tap:
- Tap P fills 1/50 of the jug in 1 second
- Tap Q fills 1/40 of the jug in 1 second
- Now, let's calculate the rate of emptying for tap R:
- Tap R empties 1/30 of the jug in 1 second
Calculating the net rate of filling
- When taps P, Q, and R are opened in turn for 3 seconds each, the net rate of filling can be calculated as follows:
- For the first 3 seconds, the net rate of filling = (1/50 + 1/40 - 1/30) = (8 + 10 - 12)/240 = 6/240 = 1/40
- This means that 1/40 of the jug is filled in 1 second when all taps are opened in turn for 3 seconds each
Calculating the time taken to fill the jug completely
- Since 1/40 of the jug is filled in 1 second, the time taken to fill the entire jug is 40 seconds
- Therefore, the empty jug will be filled in 40 seconds
Final Answer: (B) 40 seconds
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Taps P and Q can fill up a jug in 50 seconds and 40 seconds respectively. Tap R (which is attached to the jug) can empty the jug in 30 seconds. If taps P Q and R are opened in tum, in that order, for 3 seconds each, then in how many seconds will the empty jug be filled? (A) 600/7 (B).256 (D) 230.6?
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Taps P and Q can fill up a jug in 50 seconds and 40 seconds respectively. Tap R (which is attached to the jug) can empty the jug in 30 seconds. If taps P Q and R are opened in tum, in that order, for 3 seconds each, then in how many seconds will the empty jug be filled? (A) 600/7 (B).256 (D) 230.6? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Taps P and Q can fill up a jug in 50 seconds and 40 seconds respectively. Tap R (which is attached to the jug) can empty the jug in 30 seconds. If taps P Q and R are opened in tum, in that order, for 3 seconds each, then in how many seconds will the empty jug be filled? (A) 600/7 (B).256 (D) 230.6? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Taps P and Q can fill up a jug in 50 seconds and 40 seconds respectively. Tap R (which is attached to the jug) can empty the jug in 30 seconds. If taps P Q and R are opened in tum, in that order, for 3 seconds each, then in how many seconds will the empty jug be filled? (A) 600/7 (B).256 (D) 230.6?.
Taps P and Q can fill up a jug in 50 seconds and 40 seconds respectively. Tap R (which is attached to the jug) can empty the jug in 30 seconds. If taps P Q and R are opened in tum, in that order, for 3 seconds each, then in how many seconds will the empty jug be filled? (A) 600/7 (B).256 (D) 230.6? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Taps P and Q can fill up a jug in 50 seconds and 40 seconds respectively. Tap R (which is attached to the jug) can empty the jug in 30 seconds. If taps P Q and R are opened in tum, in that order, for 3 seconds each, then in how many seconds will the empty jug be filled? (A) 600/7 (B).256 (D) 230.6? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Taps P and Q can fill up a jug in 50 seconds and 40 seconds respectively. Tap R (which is attached to the jug) can empty the jug in 30 seconds. If taps P Q and R are opened in tum, in that order, for 3 seconds each, then in how many seconds will the empty jug be filled? (A) 600/7 (B).256 (D) 230.6?.
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Taps P and Q can fill up a jug in 50 seconds and 40 seconds respectively. Tap R (which is attached to the jug) can empty the jug in 30 seconds. If taps P Q and R are opened in tum, in that order, for 3 seconds each, then in how many seconds will the empty jug be filled? (A) 600/7 (B).256 (D) 230.6?, a detailed solution for Taps P and Q can fill up a jug in 50 seconds and 40 seconds respectively. Tap R (which is attached to the jug) can empty the jug in 30 seconds. If taps P Q and R are opened in tum, in that order, for 3 seconds each, then in how many seconds will the empty jug be filled? (A) 600/7 (B).256 (D) 230.6? has been provided alongside types of Taps P and Q can fill up a jug in 50 seconds and 40 seconds respectively. Tap R (which is attached to the jug) can empty the jug in 30 seconds. If taps P Q and R are opened in tum, in that order, for 3 seconds each, then in how many seconds will the empty jug be filled? (A) 600/7 (B).256 (D) 230.6? theory, EduRev gives you an
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