A rectangular container measuring 79 cm by 56 cm by 36 cm was to be filled with water by two taps, T and U. Tap T which fills the tank at a rate of 7 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
= 79 x 56 x 36
= 159264 cm
3 1 ℓ = 1000 cm
3 7 ℓ = 7000 cm
3 Volume of water filled by Tap T
= 7000 x 6
= 42000 cm
3 Volume of water filled by Tap U
= 159264 - 42000
= 117264 cm
3 Rate in which Tap U fills the container
= 117264 ÷ 2
= 58632 cm3/min
58632 mℓ/min
= 58.632 ℓ/min
≈ 58.6 ℓ/min (Correct to 1 decimal place)
Answer(s): 58.6 ℓ/min