1). There are two tanks A and B to fill up a water tank. The tank can be filled in 40 min, if both taps are on. The same tank can be filled in 60 min, if tap A alone is on. How much time will tap alone take, to fill up the same tank?
A). 64 min |
B). 80 min |
C). 96 min |
D). 120 min |
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2). A cistern can be filled up in 4 h by an inlet A. An outlet B can empty the cistern in 8 h. If both A and B are opened simultaneously, then after how much time the cistern get filled?
A). 5 h |
B). 7 h |
C). 8 h |
D). 6 h |
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3). A pipe can fill a tank in 20 h. Due to a leak in the bottom, it is filled in 40 h. If the tank is full, how much time will the leak take to empty it?
A). 40 h |
B). 30 h |
C). 50 h |
D). 30 h |
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4). A pipe can fill a tank in 10 h, while an another pipe can empty it in 6 h. Find the time taken to empty the tank, when both the pipes are opened up simultaneously.
A). 11 h |
B). 15 h |
C). 18 h |
D). 16 h |
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5). 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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6). 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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7). 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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8). 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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9). 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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10). 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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A) \( \Large 4\frac{1}2{} \) h

B) 7 h

C) 6 h

D) 10 h

Correct Answer:

Description for Correct answerPart filled by A in 1 h = \( \Large 3 \times \frac{1}{18} \)

Part filled by B in 1 h = \( \Large \frac{1}{6} \)

Part filled by (A + B) =

\( \Large \frac{1}{18} \)+\( \Large \frac{1}{6} \) = \( \Large \frac{1+3}{18} \) = \( \Large \frac{4}{18} \) = \( \Large \frac{2}{9} \)

Here, both the pipes together will fill the tank in \( \Large \frac{9}{2} \) h or \( \Large 4\frac{1}{2} \)