A rectangular container measuring 88 cm by 60 cm by 27 cm was to be filled with water by two taps, T and U. Tap T which fills the tank at a rate of 6 ℓ per minute was first turned on for 3 minutes before Tap U was turned on as well. If the tank was filled to the brim in a total of 5 minutes from the time when Tap T was first turned on, what is the rate at which Tap U fills the tank? Give your answer in ℓ per minute correct to 1 decimal place.
Total volume of the container
= 88 x 60 x 27
= 142560 cm
3 1 ℓ = 1000 cm
3 6 ℓ = 6000 cm
3 Volume of water filled by Tap T
= 6000 x 5
= 30000 cm
3 Volume of water filled by Tap U
= 142560 - 30000
= 112560 cm
3 Rate in which Tap U fills the container
= 112560 ÷ 2
= 56280 cm3/min
56280 mℓ/min
= 56.28 ℓ/min
≈ 56.3 ℓ/min (Correct to 1 decimal place)
Answer(s): 56.3 ℓ/min