A rectangular tank measuring 89 cm by 53 cm by 22 cm was to be filled with water by two taps, E and F. Tap E which fills the tank at a rate of 8 ℓ per minute was first turned on for 4 minutes before Tap F was turned on as well. If the tank was filled to the brim in a total of 5 minutes from the time when Tap E was first turned on, what is the rate at which Tap F fills the tank? Give your answer in ℓ per minute correct to 1 decimal place.
Total volume of the tank
= 89 x 53 x 22
= 103774 cm
3 1 ℓ = 1000 cm
3 8 ℓ = 8000 cm
3 Volume of water filled by Tap E
= 8000 x 5
= 40000 cm
3 Volume of water filled by Tap F
= 103774 - 40000
= 63774 cm
3 Rate in which Tap F fills the tank
= 63774 ÷ 1
= 63774 cm3/min
63774 mℓ/min
= 63.774 ℓ/min
≈ 63.8 ℓ/min (Correct to 1 decimal place)
Answer(s): 63.8 ℓ/min