• 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

 B) $$\Large 2\frac{1}{2}$$ h

Part filled by A in 1 h = $$\Large \frac{1}{5}$$

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

Part filled by C in 1 h = $$\Large \frac{1}{30}$$

Net part filled by (A + B + C) in 1 h

= $$\Large \left(\frac{1}{5}+\frac{1}{6}+\frac{1}{30}\right)$$

= $$\Large \frac{6+5+1}{30} = \frac{12}{30}$$ = $$\Large \frac{2}{5}$$

Therefore, Required time to fill the tank = $$\Large \frac{5}{2}$$h = $$\Large 2\frac{1}{2}$$ h

##### Similar Questions
1). 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
2). 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
3). 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
4). 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). $$\Large 8\frac{1}{2}$$
5). 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
6). 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
 A). $$\Large \frac{8}{11}$$ B). $$\Large \frac{5}{11}$$ C). $$\Large \frac{6}{11}$$ D). $$\Large \frac{7}{11}$$