A rectangular container measuring 75 cm by 57 cm by 32 cm was to be filled with water by two taps, E and F. Tap E which fills the tank at a rate of 9 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 7 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
= 75 x 57 x 32
= 136800 cm
3 1 ℓ = 1000 cm
3 9 ℓ = 9000 cm
3 Volume of water filled by Tap E
= 9000 x 7
= 63000 cm
3 Volume of water filled by Tap F
= 136800 - 63000
= 73800 cm
3 Rate in which Tap F fills the container
= 73800 ÷ 3
= 24600 cm3/min
24600 mℓ/min
= 24.6 ℓ/min
≈ 24.6 ℓ/min (Correct to 1 decimal place)
Answer(s): 24.6 ℓ/min