A rectangular container measuring 86 cm by 59 cm by 38 cm was to be filled with water by two taps, U and V. Tap U which fills the tank at a rate of 7 ℓ per minute was first turned on for 2 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 59 x 38
= 192812 cm
3 1 ℓ = 1000 cm
3 7 ℓ = 7000 cm
3 Volume of water filled by Tap U
= 7000 x 5
= 35000 cm
3 Volume of water filled by Tap V
= 192812 - 35000
= 157812 cm
3 Rate in which Tap V fills the container
= 157812 ÷ 3
= 52604 cm3/min
52604 mℓ/min
= 52.604 ℓ/min
≈ 52.6 ℓ/min (Correct to 1 decimal place)
Answer(s): 52.6 ℓ/min