1). Three taps are fitted in a cistern. The empty cistern is filled by the first and the second taps in 3 and 4 h, respectively. The full cistern is emptied by the third tap in 5 h. If all three taps are opened simultaneously, the empty cistern will be filled up in
A). \( \Large 1\frac{14}{23} \) |
B). \( \Large 2\frac{14}{23} \) |
C). 2 h 40 min |
D). 1 h 56 min |
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2). Pipe A can fill a tank in 30 min, while pipe B can fill the same tank in 10 min and pipe C can empty the full tank in 40 min. If all the pipes are opened together, how much time will be needed to make the tank full?
A). \( \Large 9\frac{3}{13} \) h |
B). \( \Large 9\frac{4}{13} \) h |
C). \( \Large 9\frac{7}{13} \) h |
D). \( \Large 9\frac{9}{13} \) h |
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3). Pipes A and B can fill a tank in 5 and 6 h, respectively. Pipe C can fill it in 30 h. If all the three pipes are opened together, then in how much time the tank will be filled up?
A). \( \Large 3\frac{3}{14} \) h |
B). \( \Large 2\frac{1}{2} \) h |
C). \( \Large 3\frac{9}{14} \) h |
D). \( \Large 2\frac{1}{14} \) h |
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4). Through an inlet, a tank takes 8 h to get filled up. Due to a leak in the bottom, it takes 2 h more to get it filled completely. If the tank is full, how much time will the leak take to empty it?
A). 16 h |
B). 20 h |
C). 32 h |
D). 40 h |
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5). A tap can fill an empty tank in 12 h and a leakage can empty the tank in 20 h. If tap and leakage both work together, then how long will it take to fill the tank?
A). 25 h |
B). 40 h |
C). 30 h |
D). 35 h |
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6). Three taps A, B and C together can fill an empty cistern in 10 min. The tap A alone can fill it in 30 min and the tap B alone can fill it in 40 min. How long will the tap C alone take to fill it?
A). 16 min |
B). 24 min |
C). 32 min |
D). 40 min |
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7). Two pipes P and Q can fill a cistern in 12 and 15 min, respectively. If both are opened together and at the end of 3 min, the first is closed. How much longer will the cistern take to fill?
A). \( \Large 8\frac{1}{4} \) |
B). \( \Large 8\frac{3}{4} \) |
C). 5 min |
D). \( \Large 8\frac{1}{2} \) |
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8). There are three pipes connected with a tank. The first pipe can fill \( \Large \frac{1}{2} \) part of the tank in 1 h, second pipe can fill \( \Large \frac{1}{3} \) part of the tank in 1 h. Third pipe is connected to empty the tank. After opening all the three pipes, \( \Large 7\frac{1}{2} \) part of the tank can be filled in 1 h, then how long will third pipe take to empty the full tank?
A). 3 h |
B). 4 h |
C). 5 h |
D). 6 h |
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9). A pipe can fill a cistern in 12 min and another pipe can fill it in 15 min, but a third pipe can empty it in 6 min. The first two pipes are kept open for 5 min in the beginning and then the third pipe is also opened. Time taken to empty the cistern is
A). 38 min |
B). 22 min |
C). 42 min |
D). 45 min |
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10). A cistern has three pipes A, B and C. Pipes A and B can fill it in 3 and 4 h, respectively, while pipe C can empty the completely filled cistern in 1 h. If the pipes are opened in order at 3:00 pm, 4:00 pm and 5:00 pm, respectively, at what time will the cistern be empty?
A). 6:15 pm |
B). 7:12 pm |
C). 8:12 pm |
D). 8:35 pm |
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