To fill a tank measuring 50 cm by 60 cm by 38 cm completely, it takes Tap Y 19 minutes while it takes Tap Z only 27 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 6 cm, filled to the brim with water are poured into the tank? Leave your answer in minutes and round off to 2 decimal places.
Volume of the tank 
= 50 x 60 x 38
= 114000 cm³
= 114000 mℓ

Volume of 9 containers
= 6 x 6 x 6 x 9
= 1944 cm³ 
= 1944 mℓ

Remaining volume to be filled by the Tap Y and Tap Z 
= 114000 - 1944
= 112056 mℓ
= 112056 cm³

Fraction of the tank to be filled
= ¹¹²⁰⁵⁶₁₁₄₀₀₀
= ⁸⁰⁷₈₂₁

Tap Y:
1 tank → 19 min
1 min → ¹₁₉ tank

Tap Z:
1 tank → 27 min
1 min → ¹₂₇ tank

Tap Y and Tap Z:
1 min → ¹₁₉ + ¹₂₇ = ²⁷₅₁₃ + ¹⁹₅₁₃ = ⁴⁶₅₁₃ tank

1 tank = ⁵¹³₄₆ min

⁸⁰⁷₈₂₁ tank = ⁵¹³₄₆ x ⁸⁰⁷₈₂₁ = ⁵⁴⁸¹₅₀₀ = 10.962

Answer(s): 10.96 min