At first, ²₅ of Container L was filled with water and Container M was empty. Then, both taps were turned on at the same time and water from both taps flowed at the same rate of 4.8 litres per minute. Both taps were turned off immediately when Container L was filled to the brim.

1. How much water was there in Container L at first?
2. How long did it take for the water from the tap to fill Container L to the brim?
3. What fraction of Container M was filled with water in the end? Give your answer in the simplest form.

(a)
Volume of water in Container L at first
= ²₅ x 85 x 60 x 80
= 163200 cm³

(b)
Fraction of Container L to be filled to the brim with water
= 1 - ²₅ 
= ³₅ 

Volume of water to fill Container L to the brim
= ³₅ x 85 x 60 x 80
= 244800 cm³

1 ℓ = 1000 mℓ
4.8 ℓ = 4.8 x 1000 = 4800 mℓ

Time taken by the tap to fill Container L to the brim
= ²⁴⁴⁸⁰⁰₄₈₀₀
= 51 min

(c)
Since the taps flowed at the same rate and were turned off and turned off at the same time, the volumes of water filled by the taps in Container L and Container M are the same.

Volume of water filled by the tap in Container M = 244800 cm³

Volume of Container M
= 70 x 64 x 85
= 380800 cm<sup>3

Volume of water in Container M</sup>_{Volume of Container M} = ²⁴⁴⁸⁰⁰₃₈₀₈₀₀ = ⁹₁₄

Fraction of Container M that was filled with water in the end = ⁹₁₄

Answer(s): (a) 163200 cm³; (b) 51; (c) ⁹₁₄