A rectangular container measuring 76 cm by 50 cm by 36 cm was to be filled with water by two taps, W and X. Tap W which fills the tank at a rate of 6 ℓ per minute was first turned on for 3 minutes before Tap X was turned on as well. If the tank was filled to the brim in a total of 6 minutes from the time when Tap W was first turned on, what is the rate at which Tap X fills the tank? Give your answer in ℓ per minute correct to 1 decimal place.
Total volume of the container
= 76 x 50 x 36
= 136800 cm
3 1 ℓ = 1000 cm
3 6 ℓ = 6000 cm
3 Volume of water filled by Tap W
= 6000 x 6
= 36000 cm
3 Volume of water filled by Tap X
= 136800 - 36000
= 100800 cm
3 Rate in which Tap X fills the container
= 100800 ÷ 3
= 33600 cm3/min
33600 mℓ/min
= 33.6 ℓ/min
≈ 33.6 ℓ/min (Correct to 1 decimal place)
Answer(s): 33.6 ℓ/min