A rectangular container measuring 78 cm by 52 cm by 27 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 2 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
= 78 x 52 x 27
= 109512 cm
3 1 ℓ = 1000 cm
3 8 ℓ = 8000 cm
3 Volume of water filled by Tap E
= 8000 x 6
= 48000 cm
3 Volume of water filled by Tap F
= 109512 - 48000
= 61512 cm
3 Rate in which Tap F fills the container
= 61512 ÷ 4
= 15378 cm3/min
15378 mℓ/min
= 15.378 ℓ/min
≈ 15.4 ℓ/min (Correct to 1 decimal place)
Answer(s): 15.4 ℓ/min