1). 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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2). 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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3). 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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4). 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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5). 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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6). 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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7). 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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8). 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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9). 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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10). Three pipes A, B and C can fill a tank in 30 min, 20 min and 10 min, respectively. When the tank is empty, all the three pipes are opened. If A, B and C discharge chemical solutions P, Q and R respectively, then the part of solution R in the liquid in the tank after 3 min is
A). \( \Large \frac{8}{11} \) |
B). \( \Large \frac{5}{11} \) |
C). \( \Large \frac{6}{11} \) |
D). \( \Large \frac{7}{11} \) |
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A) \( \Large 1\frac{14}{23} \)

B) \( \Large 2\frac{14}{23} \)

C) 2 h 40 min

D) 1 h 56 min

Correct Answer:

Description for Correct answerPart of tank filled by first tap in 1 h = \( \Large \frac{1}{3} \)

Part of tank filled by second tap in 1 h = \( \Large \frac{1}{4} \)

Part of tank emptied by third tap in 1 h = \( \Large \frac{1}{5} \)

Part of the tank filled by all pipes opened simultaneously in 1 h

= \( \Large \frac{1}{3} \) + \( \Large \frac{1}{4} \) - \( \Large \frac{1}{5} \)

= \( \Large \frac{20+15-12}{60} \) = \( \Large \frac{23}{60}\)

Time taken by all the taps to fill the tank when it is empty

= \( \Large \frac{60}{23} \)h = \( \Large 2\frac{14}{23} \) h