A rectangular container measuring 81 cm by 51 cm by 26 cm was to be filled with water by two taps, S and T. Tap S which fills the tank at a rate of 5 ℓ per minute was first turned on for 3 minutes before Tap T was turned on as well. If the tank was filled to the brim in a total of 5 minutes from the time when Tap S was first turned on, what is the rate at which Tap T fills the tank? Give your answer in ℓ per minute correct to 1 decimal place.
Total volume of the container
= 81 x 51 x 26
= 107406 cm
3 1 ℓ = 1000 cm
3 5 ℓ = 5000 cm
3 Volume of water filled by Tap S
= 5000 x 5
= 25000 cm
3 Volume of water filled by Tap T
= 107406 - 25000
= 82406 cm
3 Rate in which Tap T fills the container
= 82406 ÷ 2
= 41203 cm3/min
41203 mℓ/min
= 41.203 ℓ/min
≈ 41.2 ℓ/min (Correct to 1 decimal place)
Answer(s): 41.2 ℓ/min