To fill a tank measuring 40 cm by 40 cm by 35 cm completely, it takes Tap U 23 minutes while it takes Tap V only 32 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 5 cubic containers of edges 7 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 40 x 35
= 56000 cm³
= 56000 mℓ

Volume of 5 containers
= 7 x 7 x 7 x 5
= 1715 cm³ 
= 1715 mℓ

Remaining volume to be filled by the Tap U and Tap V 
= 56000 - 1715
= 54285 mℓ
= 54285 cm³

Fraction of the tank to be filled
= ⁵⁴²⁸⁵₅₆₀₀₀
= ⁷²⁸₇₅₁

Tap U:
1 tank → 23 min
1 min → ¹₂₃ tank

Tap V:
1 tank → 32 min
1 min → ¹₃₂ tank

Tap U and Tap V:
1 min → ¹₂₃ + ¹₃₂ = ³²₇₃₆ + ²³₇₃₆ = ⁵⁵₇₃₆ tank

1 tank = ⁷³⁶₅₅ min

⁷²⁸₇₅₁ tank = ⁷³⁶₅₅ x ⁷²⁸₇₅₁ = ³²⁴³₂₅₀ = 12.972

Answer(s): 12.97 min