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A set of 10 pipes (set X) can fill 70% of a tank in 7 minutes. Another set of 5 pipes (set Y) fills 3/8 of the tank in 3 minutes. A third set of 8 pipes (set Z) can empty 5/10 of the tank in 10 minutes. Q. If one pipe is added for set X and set Y and set Z ' s capacity is increased by 20% of its original value and all the taps are opened at 2.58 p.m., then at what time does the tank gets filled? (If if is initially empty). a)3.05 p.m b)3.04 p.m c)3.10 p.m d)3.03 p.m?
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A set of 10 pipes (set X) can fill 70% of a tank in 7 minutes. Another...
To solve this problem, we need to find the time it takes to fill the tank when one pipe is added to set X and the capacity of set Y and set Z is increased by 20%.
Let's first find the rate at which each set of pipes fills or empties the tank.

1. Set X:
- 10 pipes fill 70% of the tank in 7 minutes.
- So, each pipe in set X fills 7% of the tank in 7 minutes.
- Therefore, each pipe in set X fills 1% of the tank in 1 minute.

2. Set Y:
- 5 pipes fill 3/8 of the tank in 3 minutes.
- So, each pipe in set Y fills (3/8) * (1/5) = 3/40 of the tank in 3 minutes.
- Therefore, each pipe in set Y fills (1/40) of the tank in 1 minute.

3. Set Z:
- 8 pipes empty 5/10 of the tank in 10 minutes.
- So, each pipe in set Z empties (5/10) * (1/8) = 5/80 of the tank in 10 minutes.
- Therefore, each pipe in set Z empties (1/80) of the tank in 1 minute.

Now, let's calculate the combined rate of filling or emptying the tank.

1. Combined rate when one pipe is added to set X:
- Each pipe in set X fills (1/10) of the tank in 1 minute.
- So, when one pipe is added, the rate of filling the tank becomes (1/10) + (1/100) = 11/100 of the tank in 1 minute.

2. Combined rate after increasing the capacity of set Y and set Z by 20%:
- Each pipe in set Y fills (1/40) * (120/100) = 3/400 of the tank in 1 minute.
- Each pipe in set Z empties (1/80) * (120/100) = 3/800 of the tank in 1 minute.
- So, the combined rate of filling or emptying the tank becomes (11/100) + (3/400) - (3/800) = 57/400 of the tank in 1 minute.

Finally, let's calculate the time it takes to fill the tank.

- Since the tank is initially empty, it needs to be filled completely.
- So, the time it takes to fill the tank is (100/57) * 1 = 100/57 minutes.

Converting this into hours and minutes:
- 100/57 minutes = 1 hour + (43/57) * 60 minutes = 1 hour + 45 seconds (approx.)
- Therefore, the tank gets filled approximately 1 hour and 45 seconds after 2.58 p.m.

Answer:
c) 3.10 p.m
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A set of 10 pipes (set X) can fill 70% of a tank in 7 minutes. Another set of 5 pipes (set Y) fills 3/8 of the tank in 3 minutes. A third set of 8 pipes (set Z) can empty 5/10 of the tank in 10 minutes. Q. If one pipe is added for set X and set Y and set Z ' s capacity is increased by 20% of its original value and all the taps are opened at 2.58 p.m., then at what time does the tank gets filled? (If if is initially empty). a)3.05 p.m b)3.04 p.m c)3.10 p.m d)3.03 p.m?
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A set of 10 pipes (set X) can fill 70% of a tank in 7 minutes. Another set of 5 pipes (set Y) fills 3/8 of the tank in 3 minutes. A third set of 8 pipes (set Z) can empty 5/10 of the tank in 10 minutes. Q. If one pipe is added for set X and set Y and set Z ' s capacity is increased by 20% of its original value and all the taps are opened at 2.58 p.m., then at what time does the tank gets filled? (If if is initially empty). a)3.05 p.m b)3.04 p.m c)3.10 p.m d)3.03 p.m? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A set of 10 pipes (set X) can fill 70% of a tank in 7 minutes. Another set of 5 pipes (set Y) fills 3/8 of the tank in 3 minutes. A third set of 8 pipes (set Z) can empty 5/10 of the tank in 10 minutes. Q. If one pipe is added for set X and set Y and set Z ' s capacity is increased by 20% of its original value and all the taps are opened at 2.58 p.m., then at what time does the tank gets filled? (If if is initially empty). a)3.05 p.m b)3.04 p.m c)3.10 p.m d)3.03 p.m? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A set of 10 pipes (set X) can fill 70% of a tank in 7 minutes. Another set of 5 pipes (set Y) fills 3/8 of the tank in 3 minutes. A third set of 8 pipes (set Z) can empty 5/10 of the tank in 10 minutes. Q. If one pipe is added for set X and set Y and set Z ' s capacity is increased by 20% of its original value and all the taps are opened at 2.58 p.m., then at what time does the tank gets filled? (If if is initially empty). a)3.05 p.m b)3.04 p.m c)3.10 p.m d)3.03 p.m?.
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