Syntel Company Numerical Ability Pipes and Cistern

A cistern, when full, is emptied by a waste pipe in 30min., but if a tap (filling souce) is opened, it takes 40 min. to empty the cistern. How long the cistern will take to become full when both the pipes are working?
[A] 180 min
[C] 140 min
[B] 110 min
[D] 160 min

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Syntel Other Question

A cistern is filled in 9 hours and it takes 10 hours when there is a leak in its bottom. if the cistern is full, in what time will the leak empty it ?
[A] 15 h
[C] 80 h
[B] 12 h
[D] 90 h
Three pipes A,B and C can fill a cistern in 7 hours.After working at it together for 2 hours C is closed. Now A and B require 10 hours more to fill it. How long will C take to fill the cistern alone?
[A] 12 h
[C] 14 h
[B] 13 h
[D] 15 h