A rectangular container measuring 74 cm by 52 cm by 25 cm was to be filled with water by two taps, E and F. Tap E which fills the tank at a rate of 7 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 container
= 74 x 52 x 25
= 96200 cm
3 1 ℓ = 1000 cm
3 7 ℓ = 7000 cm
3 Volume of water filled by Tap E
= 7000 x 5
= 35000 cm
3 Volume of water filled by Tap F
= 96200 - 35000
= 61200 cm
3 Rate in which Tap F fills the container
= 61200 ÷ 1
= 61200 cm3/min
61200 mℓ/min
= 61.2 ℓ/min
≈ 61.2 ℓ/min (Correct to 1 decimal place)
Answer(s): 61.2 ℓ/min