A rectangular tank measuring 76 cm by 57 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 5 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 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 tank
= 76 x 57 x 25
= 108300 cm
3 1 ℓ = 1000 cm
3 5 ℓ = 5000 cm
3 Volume of water filled by Tap E
= 5000 x 7
= 35000 cm
3 Volume of water filled by Tap F
= 108300 - 35000
= 73300 cm
3 Rate in which Tap F fills the tank
= 73300 ÷ 5
= 14660 cm3/min
14660 mℓ/min
= 14.66 ℓ/min
≈ 14.7 ℓ/min (Correct to 1 decimal place)
Answer(s): 14.7 ℓ/min