A rectangular container measuring 74 cm by 50 cm by 29 cm was to be filled with water by two taps, T and U. Tap T which fills the tank at a rate of 8 ℓ per minute was first turned on for 4 minutes before Tap U was turned on as well. If the tank was filled to the brim in a total of 6 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
= 74 x 50 x 29
= 107300 cm
3 1 ℓ = 1000 cm
3 8 ℓ = 8000 cm
3 Volume of water filled by Tap T
= 8000 x 6
= 48000 cm
3 Volume of water filled by Tap U
= 107300 - 48000
= 59300 cm
3 Rate in which Tap U fills the container
= 59300 ÷ 2
= 29650 cm3/min
29650 mℓ/min
= 29.65 ℓ/min
≈ 29.7 ℓ/min (Correct to 1 decimal place)
Answer(s): 29.7 ℓ/min