To fill a tank measuring 60 cm by 50 cm by 40 cm completely, it takes Tap X 6 minutes while it takes Tap Y only 14 minutes. How long will it take to completely fill the container with water if both the taps are turned on at the same time and 9 cubic containers of edges 10 cm, filled to the brim with water are poured into the tank?
Volume of the tank 
= 60 x 50 x 40
= 120000 cm³

Volume of 9 containers
= 10 x 10 x 10 x 9
= 9000 mℓ

Remaining volume to be filled by the Tap X and Tap Y 
= 120000 - 9000
= 111000 mℓ
= 111000 cm³

Fraction of the tank to be filled
= ¹¹¹⁰⁰⁰₁₂₀₀₀₀
= ³⁷₄₀

Tap X:
1 tank → 6 min
1 min → ¹₆ tank

Tap Y:
1 tank → 14 min
1 min → ¹₁₄ tank

Tap X and Tap Y:
1 min → ¹₆ + ¹₁₄ = ⁷₄₂ + ³₄₂ = ⁵₂₁ tank
1 tank → ²¹₅ min

³⁷₄₀ tank → ²¹₅ x ³⁷₄₀ = ⁷⁷⁷₂₀₀ = 3.885 min

Answer(s): 3.885 min