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Three pipes P, Q and R are attached to a tank. Pipe P takes half as much time as pipe Q alone or one third as much time as pipe R alone take to fill the tank completely. The three pipes simultaneously start filling the tank and pipe Q is closed after half an hour. Pipes P and R further filled the remaining one twelfth of the tank in 3.75 minutes. How much time will pipe P alone take to fill the tank completely??
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Three pipes P, Q and R are attached to a tank. Pipe P takes half as mu...
Given Information:
- Pipe P takes half as much time as pipe Q alone or one third as much time as pipe R alone to fill the tank completely.
- Pipe Q is closed after half an hour.
- Pipes P and R filled the remaining one twelfth of the tank in 3.75 minutes.
Calculations:
1. Let's assume:
- Pipe Q alone takes x hours to fill the tank.
- Pipe P takes x/2 hours to fill the tank.
- Pipe R takes 3x hours to fill the tank.
2. In 30 minutes (0.5 hours):
- Pipe Q fills 1/2x of the tank.
- Pipe P fills 1/4x of the tank.
- Pipe R fills 3/2x of the tank.
3. After half an hour, the remaining tank is 1 - (1/2 + 1/4) = 1/4.
- Pipes P and R fill 1/12 of the tank in 3.75 minutes (3.75/60 = 0.0625 hours).
- P and R together fill 1/12 of the tank in 0.0625 hours.
- P fills 1/4x in 0.5 hours, so it fills 1/16x in 0.0625 hours.
- R fills 3/2x in 0.5 hours, so it fills 3/32x in 0.0625 hours.
- Therefore, 1/16x + 3/32x = 1/12.
- Solving this equation gives x = 0.25.
Time taken by Pipe P alone to fill the tank:
- Pipe P takes x/2 = 0.25/2 = 0.125 hours.
- Pipe P alone takes 0.125 hours or 7.5 minutes to fill the tank completely.
- Pipe P takes half as much time as pipe Q alone or one third as much time as pipe R alone to fill the tank completely.
- Pipe Q is closed after half an hour.
- Pipes P and R filled the remaining one twelfth of the tank in 3.75 minutes.
Calculations:
1. Let's assume:
- Pipe Q alone takes x hours to fill the tank.
- Pipe P takes x/2 hours to fill the tank.
- Pipe R takes 3x hours to fill the tank.
2. In 30 minutes (0.5 hours):
- Pipe Q fills 1/2x of the tank.
- Pipe P fills 1/4x of the tank.
- Pipe R fills 3/2x of the tank.
3. After half an hour, the remaining tank is 1 - (1/2 + 1/4) = 1/4.
- Pipes P and R fill 1/12 of the tank in 3.75 minutes (3.75/60 = 0.0625 hours).
- P and R together fill 1/12 of the tank in 0.0625 hours.
- P fills 1/4x in 0.5 hours, so it fills 1/16x in 0.0625 hours.
- R fills 3/2x in 0.5 hours, so it fills 3/32x in 0.0625 hours.
- Therefore, 1/16x + 3/32x = 1/12.
- Solving this equation gives x = 0.25.
Time taken by Pipe P alone to fill the tank:
- Pipe P takes x/2 = 0.25/2 = 0.125 hours.
- Pipe P alone takes 0.125 hours or 7.5 minutes to fill the tank completely.
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Three pipes P, Q and R are attached to a tank. Pipe P takes half as much time as pipe Q alone or one third as much time as pipe R alone take to fill the tank completely. The three pipes simultaneously start filling the tank and pipe Q is closed after half an hour. Pipes P and R further filled the remaining one twelfth of the tank in 3.75 minutes. How much time will pipe P alone take to fill the tank completely??
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Three pipes P, Q and R are attached to a tank. Pipe P takes half as much time as pipe Q alone or one third as much time as pipe R alone take to fill the tank completely. The three pipes simultaneously start filling the tank and pipe Q is closed after half an hour. Pipes P and R further filled the remaining one twelfth of the tank in 3.75 minutes. How much time will pipe P alone take to fill the tank completely?? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Three pipes P, Q and R are attached to a tank. Pipe P takes half as much time as pipe Q alone or one third as much time as pipe R alone take to fill the tank completely. The three pipes simultaneously start filling the tank and pipe Q is closed after half an hour. Pipes P and R further filled the remaining one twelfth of the tank in 3.75 minutes. How much time will pipe P alone take to fill the tank completely?? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three pipes P, Q and R are attached to a tank. Pipe P takes half as much time as pipe Q alone or one third as much time as pipe R alone take to fill the tank completely. The three pipes simultaneously start filling the tank and pipe Q is closed after half an hour. Pipes P and R further filled the remaining one twelfth of the tank in 3.75 minutes. How much time will pipe P alone take to fill the tank completely??.
Three pipes P, Q and R are attached to a tank. Pipe P takes half as much time as pipe Q alone or one third as much time as pipe R alone take to fill the tank completely. The three pipes simultaneously start filling the tank and pipe Q is closed after half an hour. Pipes P and R further filled the remaining one twelfth of the tank in 3.75 minutes. How much time will pipe P alone take to fill the tank completely?? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Three pipes P, Q and R are attached to a tank. Pipe P takes half as much time as pipe Q alone or one third as much time as pipe R alone take to fill the tank completely. The three pipes simultaneously start filling the tank and pipe Q is closed after half an hour. Pipes P and R further filled the remaining one twelfth of the tank in 3.75 minutes. How much time will pipe P alone take to fill the tank completely?? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three pipes P, Q and R are attached to a tank. Pipe P takes half as much time as pipe Q alone or one third as much time as pipe R alone take to fill the tank completely. The three pipes simultaneously start filling the tank and pipe Q is closed after half an hour. Pipes P and R further filled the remaining one twelfth of the tank in 3.75 minutes. How much time will pipe P alone take to fill the tank completely??.
Solutions for Three pipes P, Q and R are attached to a tank. Pipe P takes half as much time as pipe Q alone or one third as much time as pipe R alone take to fill the tank completely. The three pipes simultaneously start filling the tank and pipe Q is closed after half an hour. Pipes P and R further filled the remaining one twelfth of the tank in 3.75 minutes. How much time will pipe P alone take to fill the tank completely?? in English & in Hindi are available as part of our courses for UPSC.
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