A rectangular tank measuring 82 cm by 58 cm by 35 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 7 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 tank
= 82 x 58 x 35
= 166460 cm
3 1 ℓ = 1000 cm
3 5 ℓ = 5000 cm
3 Volume of water filled by Tap L
= 5000 x 7
= 35000 cm
3 Volume of water filled by Tap M
= 166460 - 35000
= 131460 cm
3 Rate in which Tap M fills the tank
= 131460 ÷ 5
= 26292 cm3/min
26292 mℓ/min
= 26.292 ℓ/min
≈ 26.3 ℓ/min (Correct to 1 decimal place)
Answer(s): 26.3 ℓ/min