To fill a tank measuring 40 cm by 30 cm by 25 cm completely, it takes Tap L 19 minutes while it takes Tap M only 48 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 9 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 
= 40 x 30 x 25
= 30000 cm³
= 30000 mℓ

Volume of 9 containers
= 9 x 9 x 9 x 9
= 6561 cm³ 
= 6561 mℓ

Remaining volume to be filled by the Tap L and Tap M 
= 30000 - 6561
= 23439 mℓ
= 23439 cm³

Fraction of the tank to be filled
= ²³⁴³⁹₃₀₀₀₀
= ⁴⁹³₆₃₁

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

Tap M:
1 tank → 48 min
1 min → ¹₄₈ tank

Tap L and Tap M:
1 min → ¹₁₉ + ¹₄₈ = ⁴⁸₉₁₂ + ¹⁹₉₁₂ = ⁶⁷₉₁₂ tank

1 tank = ⁹¹²₆₇ min

⁴⁹³₆₃₁ tank = ⁹¹²₆₇ x ⁴⁹³₆₃₁ = ²¹²⁷₂₀₀ = 10.635

Answer(s): 10.64 min