Syntel Company Numerical Ability Pipes and Cistern

There are two pipes that can idependently fill a tank in 20 minutes. Both these pipes are opened together and
when the tank is half filled, one of them is shut. How long will it take to fill the tank from the moment when
the pipes were opened?

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Syntel Other Question
2 pipes can fill a tank in 10 and 20 minutes if the tank is perfect. But there is a hole in the tank that can
empty it in 30 minutes. If both the pipes are opened simultaneously, how long will it take to fill the tank? There are 3 pipes A, B and C that when opened simultaneously would fill a tank in 20 minutes. C can fill the tank
twice as fast as A which in turn would fill the tank twice as fast as B. How long will it take for B alone to
fill the tank?