It takes Faucet N 27 minutes to fill a tank measuring 9 cm by 29 cm by 12 cm completely while it takes Faucet P only 24 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
= 9 x 29 x 12
= 3132 cm³

Rate of Faucet N
27 min → 3132 cm³
1 min → 3132 ÷ 27 = 116 cm³/min

Rate of Faucet P
24 min → 3132 cm³
1 min → 3132 ÷ 24 = 130.5 cm³/min

Rate if both Faucet N and Faucet P are turned on together
= 116 + 130.5
= 246.5 cm³/min

Time taken to fill up the tank if both Faucet N and Faucet P are turned on together
= 3132 ÷ 246.5
≈ 12.71 min (Round off to 2 decimal places)

Answer(s): 12.71 min