Correct option is D
Given:
- Pipe C can fill the tank in 6 hours.
- Pipe D can fill the tank in 9 hours.
- They are opened alternately for 1 hour each, starting with Pipe C.
Capacity of the tank = LCM of the time taken by A and B.
Solution:
Capacity of the tank = 18 units
A’s efficiency = 18/6 = 3 units per hour
B’s efficiency = 18/9 = 2 units per hour
2 hours work for A and B = (3 + 2) = 5 units
=> 2 × 3 hours = 3 × 5 or 15 units
=> 6 hours = 15 units
=> 7 hours = 18 units. (At last A fills remaining 3 units)
∴ Tank will be filled in 7 hours.