A rectangular tank measuring 83 cm by 52 cm by 39 cm was to be filled with water by two taps, F and G. Tap F which fills the tank at a rate of 6 ℓ per minute was first turned on for 2 minutes before Tap G was turned on as well. If the tank was filled to the brim in a total of 5 minutes from the time when Tap F was first turned on, what is the rate at which Tap G fills the tank? Give your answer in ℓ per minute correct to 1 decimal place.
Total volume of the tank
= 83 x 52 x 39
= 168324 cm
3 1 ℓ = 1000 cm
3 6 ℓ = 6000 cm
3 Volume of water filled by Tap F
= 6000 x 5
= 30000 cm
3 Volume of water filled by Tap G
= 168324 - 30000
= 138324 cm
3 Rate in which Tap G fills the tank
= 138324 ÷ 3
= 46108 cm3/min
46108 mℓ/min
= 46.108 ℓ/min
≈ 46.1 ℓ/min (Correct to 1 decimal place)
Answer(s): 46.1 ℓ/min