A rectangular container measuring 74 cm by 50 cm by 38 cm was to be filled with water by two taps, Z and A. Tap Z which fills the tank at a rate of 7 ℓ per minute was first turned on for 4 minutes before Tap A was turned on as well. If the tank was filled to the brim in a total of 6 minutes from the time when Tap Z was first turned on, what is the rate at which Tap A fills the tank? Give your answer in ℓ per minute correct to 1 decimal place.
Total volume of the container
= 74 x 50 x 38
= 140600 cm
3 1 ℓ = 1000 cm
3 7 ℓ = 7000 cm
3 Volume of water filled by Tap Z
= 7000 x 6
= 42000 cm
3 Volume of water filled by Tap A
= 140600 - 42000
= 98600 cm
3 Rate in which Tap A fills the container
= 98600 ÷ 2
= 49300 cm3/min
49300 mℓ/min
= 49.3 ℓ/min
≈ 49.3 ℓ/min (Correct to 1 decimal place)
Answer(s): 49.3 ℓ/min