A rectangular container measuring 84 cm by 59 cm by 24 cm was to be filled with water by two taps, U and V. Tap U which fills the tank at a rate of 5 ℓ per minute was first turned on for 4 minutes before Tap V was turned on as well. If the tank was filled to the brim in a total of 5 minutes from the time when Tap U was first turned on, what is the rate at which Tap V fills the tank? Give your answer in ℓ per minute correct to 1 decimal place.
Total volume of the container
= 84 x 59 x 24
= 118944 cm
3 1 ℓ = 1000 cm
3 5 ℓ = 5000 cm
3 Volume of water filled by Tap U
= 5000 x 5
= 25000 cm
3 Volume of water filled by Tap V
= 118944 - 25000
= 93944 cm
3 Rate in which Tap V fills the container
= 93944 ÷ 1
= 93944 cm3/min
93944 mℓ/min
= 93.944 ℓ/min
≈ 93.9 ℓ/min (Correct to 1 decimal place)
Answer(s): 93.9 ℓ/min