To fill a tank measuring 70 cm by 70 cm by 14 cm completely, it takes Tap Z 45 minutes while it takes Tap A only 30 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 8 cubic containers of edges 14 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 
= 70 x 70 x 14
= 68600 cm³
= 68600 mℓ

Volume of 8 containers
= 14 x 14 x 14 x 8
= 21952 cm³ 
= 21952 mℓ

Remaining volume to be filled by the Tap Z and Tap A 
= 68600 - 21952
= 46648 mℓ
= 46648 cm³

Fraction of the tank to be filled
= ⁴⁶⁶⁴⁸₆₈₆₀₀
= ¹⁷₂₅

Tap Z:
1 tank → 45 min
1 min → ¹₄₅ tank

Tap A:
1 tank → 30 min
1 min → ¹₃₀ tank

Tap Z and Tap A:
1 min → ¹₄₅ + ¹₃₀ = ²₉₀ + ³₉₀ = ¹₁₈ tank

1 tank = ¹⁸₁ min

¹⁷₂₅ tank = ¹⁸₁ x ¹⁷₂₅ = ³⁰⁶₂₅ = 12.24

Answer(s): 12.24 min