SSC CGL 20191)Pipes A and B are filling pipes while pipe C is an emptying pipe. A and B can fill a tank in 72 and 90 minutes respectively. When all the three pipes are opened together, the tank gets filled in 2 hours. A and B are opened together for 12 minutes, then closed and C is opened, The tank will be empty after:

Correct Option: B

18 minutes

SSC CGL 20192)Pipes A and B can fill a tank in 16 hours and 24 hours, respectively and pipe C alone can empty the full tank in x hours. All the pipes were opened together at 10:30 a.m., but C was closed at 2:30 p.m. If the tank was full at 8:30 p.m. on the same day, then what is the value of x?

Correct Option: D

96

SSC CGL 20203)Pipes A and B can fill a tank in 10 hours and 40 hours, respectively. C is an outlet pipe attached to the tank. If all the three pipes are opened simultaneously, it takes 80 minutes more time than what pipes A and B together take to fill the tank. A and B are kept opened for 7 hours and then closed and C was opened. C will now empty the tank in :

Correct Option: B

49 hours

Let x be time taken by A & B to fill the tank

then, \({1\over10}+{1\over40}={1\over x}\) , ⇒ x = 8 hours ;

All three simultaneously operating takes = \((8+{80\over60})={28\over 3}hours\);

\({1\over10}+{1\over40}-{1\over C}={3\over28}\) ; ⇒ C = 56 hours ;

Now A & B are opened for 7 hours then C is opened , let time taken to empty tank be y hours.

\({7\over10}+{7\over 40}-{x\over56}=0\) ; ⇒ x = 49 hours

SSC CHSL 20214)Pipes A and B can empty a full tank in 36 and 45 minutes, respectively, whereas pipe C alone can fill the tank in 15 minutes. B and C are opened together for 15 minutes, and then both are turned off and A is opened. Pipe A will empty the tank in (in minutes):

Correct Option: D

24

SSC CHSL 20215)Tap P can fill a cistern in 6 hours and tap Q can empty the full cistern in 10 hours. If both taps P and Q are kept open simultaneously, then in how many hours will the empty cistern be completely full ?

Correct Option: A

15

SSC CHSL 20216)A tap can fill a tank in 4 hours. Another tap can fill the same tank in 6 hours. If both the taps are opened at the same time, then in how much time will the empty tank be filled completely?

Correct Option: D

2 h 24 min

SSC Selection Post Matric 20227)Pipes A and B together can fill an empty tank in 30 hours, whereas pipes B and C together can fill it in 24 hours. A, B and C together can fill the tank in 20 hours. In how many hours can pipe B alone fill 35% of the tank?

Correct Option: B

14

\({1 \over A}+{1 \over B} = {1 \over 30}\), \({1 \over B} + {1 \over C} = {1 \over 24}\), \({1 \over A}+{1 \over B} + {1 \over C} = {1 \over 20}\)

Solving above three equations we get A = 120hrs, B= 40hrs and C = 60hrs

Now for filling 35% of the tank by B alone we get, 35% of 60 = 21 hrs

SSC Selection Post Matric 20228)Pipes A and B can fill a tank in 4 hours and 6 hours 40 minutes, respectively; whereas a third pipe C can empty the full tank in 1 hours 40 minutes. A and B are opened at 2:00p.m. and 3:00 p.m., respectively and C is opened at 4:00 p.m. The tank will be completely empty at:

Correct Option: D

7:15 p. m.

SSC CPO 20209)Two pipes A and B can fill a tank in 15 hours and 18 hours, respectively. Both pipes are opened simultaneously to fill the tank. In how many hours will the empty tank be filled?

Correct Option: A

\(8 \frac{2}{11}\)

SSC CPO 202010)Pipes A and B can fill a tank in 16 hours and 24 hours, respectively, whereas pipe C can empty the full tank in 40 hours. All three pipes are opened together, but pipe A is closed after 10 hours. After how many hours will the remaining part of the tank be filled?

Correct Option: C

12.5

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