The figure shows a container made up of 3 sections. Cuboid Y with a square base of side 14 cm and height 23 cm. Cube Z with a side of 10 cm. Cuboid A that is 76 cm by 29 cm by 48 cm. Water from a tap above flows down at a rate of 2.7 litres per minute while water is drained out from the bottom at a rate of 2 litre per minute. How long did it take to fill up the container to a height of 64 cm from the base? Give the answer in minutes correct to nearest whole number.
Volume of Z
= 10 x 10 x 10
= 1000 cm³ 

Volume of A
= 76 x 29 x 48
= 105792 cm³ 

2 ℓ = 2000 cm³ 
2.7 ℓ = 2700 cm³ 

Net increase in volume per minute
= 2700 - 2000
= 700 cm³/min

Height of Y to be filled with water
= 64 - (48 + 10)
= 6 cm

Volume of water in Y
= 14 x 14 x 6
= 1176 cm³ 

Volume of water in A, Z and part of Y
= 105792 + 1000 + 1176
= 107968 cm³ 

Time taken to reach height
= 107968 ÷ 700
≈ 154 min (Correct to nearest whole number)

Answer(s): 154 min