Let the capacity of the tank be 60 litres.
Capacity of the first pipe = 12 l/hr
Capacity of the second pipe = 6 l/hr
Capacity of the third pipe = 4 l/hr
In 2 hrs, first pipe fills
(9+12)l=21lIn 2 hrs, second pipe fills
(4.5+6)=10.5lIn 2 hrs, third pipe fills (16/3) l
In 2 hrs, tank filled
=(21+10.5+5.33)l=36.83lTank left to be filled
=(60−36.83)l=23.17lTime required
=()hr=1.05hrs
Total time
=3.05 hrs
Hence, option C is the correct answer.