A rectangular tank measuring 83 cm by 52 cm by 31 cm was to be filled with water by two taps, G and H. Tap G which fills the tank at a rate of 7 ℓ per minute was first turned on for 2 minutes before Tap H was turned on as well. If the tank was filled to the brim in a total of 5 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
= 83 x 52 x 31
= 133796 cm
3 1 ℓ = 1000 cm
3 7 ℓ = 7000 cm
3 Volume of water filled by Tap G
= 7000 x 5
= 35000 cm
3 Volume of water filled by Tap H
= 133796 - 35000
= 98796 cm
3 Rate in which Tap H fills the tank
= 98796 ÷ 3
= 32932 cm3/min
32932 mℓ/min
= 32.932 ℓ/min
≈ 32.9 ℓ/min (Correct to 1 decimal place)
Answer(s): 32.9 ℓ/min