PSLE The figure shows taps A and B and an empty tank. At 7 p.m., tap A was turned on. Water flowed into the tank from tap A at a rate of 4.5 litres per minute. After 5 minutes, tap B was turned on. At 7.11 p.m., the tank was half filled with water.
- How many litres of water flowed out of tap B in 1 minute?
- At 7.27 p.m., what fraction of the tank was filled with water?
(a)
Volume of the tank
= 60 x 30 x 20
= 36000 mℓ
= 36 ℓ
Volume of the tank at 7.11 p.m. when it was half filled with water
= 36 ÷ 2
= 18 ℓ
Volume of water by Tap A for 5 min
= 5 x 4.5
= 22.5 ℓ
Duration that Tap B was turned
= 11 - 5
= 6 min
Since there was a decrease in the volume of water in the tank, water flowed out of Tap B at a faster rate than that of Tap A.
Volume of water that flowed out in 6 min
= 22.5 - 18
= 4.5 ℓ
Volume of water that flowed out in 1 min
= 4.5 ÷ 6
= 0.75 ℓ
Volume of water that flowed out of Tap B in 1 min
= 4.5 + 0.75
= 5.25 ℓ
(b)
Duration from 7.11 p.m. to 7.27 p.m. = 16 min
Volume of water that flowed out from 7.11 p.m. to 7.27 p.m.
= 16 x 0.75
= 12 ℓ
Volume of water left at 7.27 p.m.
= 18 - 12
= 6 ℓ
Fraction of the tank filled with water at 7.27 p.m.
=
636 =
16
Answer(s): (a) 5.25 ℓ; (b) 16