A rectangular tank measuring 76 cm by 59 cm by 34 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 3 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
= 76 x 59 x 34
= 152456 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
= 152456 - 30000
= 122456 cm
3 Rate in which Tap G fills the tank
= 122456 ÷ 2
= 61228 cm3/min
61228 mℓ/min
= 61.228 ℓ/min
≈ 61.2 ℓ/min (Correct to 1 decimal place)
Answer(s): 61.2 ℓ/min