A rectangular tank measuring 73 cm by 55 cm by 34 cm was to be filled with water by two taps, B and C. Tap B which fills the tank at a rate of 8 ℓ per minute was first turned on for 2 minutes before Tap C was turned on as well. If the tank was filled to the brim in a total of 5 minutes from the time when Tap B was first turned on, what is the rate at which Tap C fills the tank? Give your answer in ℓ per minute correct to 1 decimal place.
Total volume of the tank
= 73 x 55 x 34
= 136510 cm
3 1 ℓ = 1000 cm
3 8 ℓ = 8000 cm
3 Volume of water filled by Tap B
= 8000 x 5
= 40000 cm
3 Volume of water filled by Tap C
= 136510 - 40000
= 96510 cm
3 Rate in which Tap C fills the tank
= 96510 ÷ 3
= 32170 cm3/min
32170 mℓ/min
= 32.17 ℓ/min
≈ 32.2 ℓ/min (Correct to 1 decimal place)
Answer(s): 32.2 ℓ/min