It takes Faucet H 22 minutes to fill a tank measuring 11 cm by 19 cm by 14 cm completely while it takes Faucet J only 20 minutes. How long will it take to completely fill the tank with water if both the faucets are turned on at the same time? Leave your answer in minutes and round off to 2 decimal places.
Volume of the container
= 11 x 19 x 14
= 2926 cm³

Rate of Faucet H
22 min → 2926 cm³
1 min → 2926 ÷ 22 = 133 cm³/min

Rate of Faucet J
20 min → 2926 cm³
1 min → 2926 ÷ 20 = 146.3 cm³/min

Rate if both Faucet H and Faucet J are turned on together
= 133 + 146.3
= 279.3 cm³/min

Time taken to fill up the tank if both Faucet H and Faucet J are turned on together
= 2926 ÷ 279.3
≈ 10.48 min (Round off to 2 decimal places)

Answer(s): 10.48 min