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# Pipes and cisterns-Hard test 1

6)

A pipe can fill a tank in x hours and another pipe can empty it in y hours. Here y>x. If both the pipes are kept open simultaneously in how many hours will the tank be filled?

[SSC CGL 2007]

7)

Three taps A, B and C can fill an empty cistern in 10 min. The tap A alone can fill it in 30 min and the tap B alone in 40 min. How long will tap C alone take to fill it?

[SSC CGL 2010]

8)

Three taps are fitted to a cistern. The empty cistern is filled by the first and second taps in 3 and 4 h respectively. The full cistern is emptied by the third tap in 5 h. If all the three taps are opened simultaneously, the empty cistern will be filled up in____

[SSC CGL 2013]

9)

A, B, C are three pipes connected to a tank. A and B together can fill the tank in 6h, B and C can together fill the tank in 10 hours and A and C together fill it in $7\frac{1}{2}$h. Calculate the time taken by all the three to fill the tank.

[SSC CGL 2013]

10)

A water tank has two pipes. the empty tank in filled in 12 min by the first and the full tank is emptied by the second in 20 min. Calculate the time required to fill half tank when both the pipes are opened.

[SSC CGL 2014]