A rectangular container measuring 70 cm by 57 cm by 38 cm was to be filled with water by two taps, L and M. Tap L which fills the tank at a rate of 5 ℓ per minute was first turned on for 2 minutes before Tap M was turned on as well. If the tank was filled to the brim in a total of 6 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
= 70 x 57 x 38
= 151620 cm
3 1 ℓ = 1000 cm
3 5 ℓ = 5000 cm
3 Volume of water filled by Tap L
= 5000 x 6
= 30000 cm
3 Volume of water filled by Tap M
= 151620 - 30000
= 121620 cm
3 Rate in which Tap M fills the container
= 121620 ÷ 4
= 30405 cm3/min
30405 mℓ/min
= 30.405 ℓ/min
≈ 30.4 ℓ/min (Correct to 1 decimal place)
Answer(s): 30.4 ℓ/min