A rectangular container measuring 73 cm by 58 cm by 31 cm was to be filled with water by two taps, L and M. Tap L which fills the tank at a rate of 7 ℓ per minute was first turned on for 4 minutes before Tap M was turned on as well. If the tank was filled to the brim in a total of 5 minutes from the time when Tap L was first turned on, what is the rate at which Tap M fills the tank? Give your answer in ℓ per minute correct to 1 decimal place.
Total volume of the container
= 73 x 58 x 31
= 131254 cm
3 1 ℓ = 1000 cm
3 7 ℓ = 7000 cm
3 Volume of water filled by Tap L
= 7000 x 5
= 35000 cm
3 Volume of water filled by Tap M
= 131254 - 35000
= 96254 cm
3 Rate in which Tap M fills the container
= 96254 ÷ 1
= 96254 cm3/min
96254 mℓ/min
= 96.254 ℓ/min
≈ 96.3 ℓ/min (Correct to 1 decimal place)
Answer(s): 96.3 ℓ/min