A rectangular container measuring 86 cm by 52 cm by 39 cm was to be filled with water by two taps, U and V. Tap U which fills the tank at a rate of 8 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
= 86 x 52 x 39
= 174408 cm
3 1 ℓ = 1000 cm
3 8 ℓ = 8000 cm
3 Volume of water filled by Tap U
= 8000 x 5
= 40000 cm
3 Volume of water filled by Tap V
= 174408 - 40000
= 134408 cm
3 Rate in which Tap V fills the container
= 134408 ÷ 1
= 134408 cm3/min
134408 mℓ/min
= 134.408 ℓ/min
≈ 134.4 ℓ/min (Correct to 1 decimal place)
Answer(s): 134.4 ℓ/min