A rectangular container measuring 72 cm by 54 cm by 28 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 3 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 container
= 72 x 54 x 28
= 108864 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
= 108864 - 36000
= 72864 cm
3 Rate in which Tap F fills the container
= 72864 ÷ 3
= 24288 cm3/min
24288 mℓ/min
= 24.288 ℓ/min
≈ 24.3 ℓ/min (Correct to 1 decimal place)
Answer(s): 24.3 ℓ/min