A rectangular tank measuring 89 cm by 52 cm by 37 cm was to be filled with water by two taps, E and F. Tap E which fills the tank at a rate of 6 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 6 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 52 x 37
= 171236 cm
3 1 ℓ = 1000 cm
3 6 ℓ = 6000 cm
3 Volume of water filled by Tap E
= 6000 x 6
= 36000 cm
3 Volume of water filled by Tap F
= 171236 - 36000
= 135236 cm
3 Rate in which Tap F fills the tank
= 135236 ÷ 2
= 67618 cm3/min
67618 mℓ/min
= 67.618 ℓ/min
≈ 67.6 ℓ/min (Correct to 1 decimal place)
Answer(s): 67.6 ℓ/min