It takes Faucet C 45 minutes to fill a tank measuring 15 cm by 9 cm by 14 cm completely while it takes Faucet N only 30 minutes. How long will it take to completely fill the tank with water if both faucets are turned on at the same time and 4 cubic cubes of edges 3 cm, filled with water, are poured into the tank? Leave the answer in minutes and round off to 2 decimal places.
Time taken by Faucet C to fill the tank:

45 min → 1 tank
1 min → ¹₄₅ tank

Time taken by Faucet N to fill the tank:
30 min → 1 tank
1 min → ¹₃₀ tank

Volume of the tank
= 15 x 9 x 14
= 1890 cm³

Volume of 4 cubic cubes
= 4 x (3 x 3 x 3)
= 108 cm³

Time taken by Faucet C and Faucet N to fill a tank:
1 min → ¹₄₅ + ¹₃₀ =⁵₉₀ = ¹₁₈ tank

¹₁₈ tank → 1 min
1 tank → 1 ÷ ¹₁₈ = 1 x ¹⁸₁ = 18 min

Remaining volume of the tank to be filled by both faucets 
= 1890 - 108
= 1782 cm³

Time taken to fill the tank
= ¹⁷⁸²₁₈₉₀ x 18
= 16.971428571429
≈ 16.97 min

Answer(s): 16.97 min