Question 53

Pipe C can fill a tank in 12 hours and pipe D can fill the same tank in 40 hours. In how many hours both pipe C and D together can fill the same tank?

Let the total capacity of the tank be 120 units (LCM of 12 and 40)
Efficiency of Pipe C = 120/12 = 10 units per hour
Efficiency of Pipe D = 120/40 = 3 units per hour
Total efficiency of Pipe C and D together = 13 units per hour
Therefore, 120 units of tank can be filled in $$\dfrac{120}{13}$$ hours

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