A rectangular container measuring 86 cm by 59 cm by 34 cm was to be filled with water by two taps, T and U. Tap T which fills the tank at a rate of 5 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
= 86 x 59 x 34
= 172516 cm
3 1 ℓ = 1000 cm
3 5 ℓ = 5000 cm
3 Volume of water filled by Tap T
= 5000 x 5
= 25000 cm
3 Volume of water filled by Tap U
= 172516 - 25000
= 147516 cm
3 Rate in which Tap U fills the container
= 147516 ÷ 2
= 73758 cm3/min
73758 mℓ/min
= 73.758 ℓ/min
≈ 73.8 ℓ/min (Correct to 1 decimal place)
Answer(s): 73.8 ℓ/min