It takes Faucet Z 35 minutes to fill a container measuring 13 cm by 10 cm by 12 cm completely while it takes Faucet N only 15 minutes. How long will it take to completely fill the container with water if both faucets are turned on at the same time and 3 cubic cubes of edges 3 cm, filled with water, are poured into the container? Leave the answer in minutes and round off to 2 decimal places.
Time taken by Faucet Z to fill the container:

35 min → 1 tank
1 min → ¹₃₅ tank

Time taken by Faucet N to fill the container:
15 min → 1 tank
1 min → ¹₁₅ tank

Volume of the container
= 13 x 10 x 12
= 1560 cm³

Volume of 3 cubic cubes
= 3 x (3 x 3 x 3)
= 81 cm³

Time taken by Faucet Z and Faucet N to fill a container:
1 min → ¹₃₅ + ¹₁₅ =¹⁰₁₀₅ = ²₂₁ container

²₂₁ container → 1 min
1 container → 1 ÷ ²₂₁ = 1 x ²¹₂ = 10.5 min

Remaining volume of the container to be filled by both faucets 
= 1560 - 81
= 1479 cm³

Time taken to fill the container
= ¹⁴⁷⁹₁₅₆₀ x 10.5
= 9.9548076923077
≈ 9.95 min

Answer(s): 9.95 min