Gate Maths Puzzle Numerical Ability Time and Work

Two coal loading machines each working 12h/day for 8days handle 9000tonnes of coal with an efficiency of 90%, while 3 other coal loading machines at an efficiency of 80% are set to handle 12000tonnes of coal in 6days. Find how many hours per day each should work?
(a) 20h/day
(b) 18h/day
(c) 16h/day
(d) 14h/day

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Gate Other Question

There is a leak in the bottom of a cistern. Before the leak it could be filled in 9/2h. It now takes 1/2h longer. If the cistern is full, in how much time would the leakage empty the full cistern?
(a) 45h
(b) 40h
(C) 36h
(d) 56h
Six pipes are fitted to a water tank. Some of theses are inlet pipes and the others outlet pipes. Each inlet pipe can fill the tank in 9h and each outlet pipe can empty the tank in 6h. On opening all the pipes, an empty tank is filled in 9h. The number of inlet pipes is
(a) 2
(b) 4
(c) 3
(d) 5