A rectangular tank measuring 82 cm by 53 cm by 30 cm was to be filled with water by two taps, G and H. Tap G which fills the tank at a rate of 8 ℓ per minute was first turned on for 4 minutes before Tap H was turned on as well. If the tank was filled to the brim in a total of 6 minutes from the time when Tap G was first turned on, what is the rate at which Tap H fills the tank? Give your answer in ℓ per minute correct to 1 decimal place.
Total volume of the tank
= 82 x 53 x 30
= 130380 cm
3 1 ℓ = 1000 cm
3 8 ℓ = 8000 cm
3 Volume of water filled by Tap G
= 8000 x 6
= 48000 cm
3 Volume of water filled by Tap H
= 130380 - 48000
= 82380 cm
3 Rate in which Tap H fills the tank
= 82380 ÷ 2
= 41190 cm3/min
41190 mℓ/min
= 41.19 ℓ/min
≈ 41.2 ℓ/min (Correct to 1 decimal place)
Answer(s): 41.2 ℓ/min