PSLE The figure shows taps A and B and an empty tank. At 6 p.m., tap A was turned on. Water flowed into the tank from tap A at a rate of 4.2 litres per minute. After 8 minutes, tap B was turned on. At 6.13 p.m., the tank was half filled with water.
- How many litres of water flowed out of tap B in 1 minute?
- At 6.28 p.m., what fraction of the tank was filled with water?
(a)
Volume of the tank
= 60 x 35 x 25
= 52500 mℓ
= 52.5 ℓ
Volume of the tank at 6.13 p.m. when it was half filled with water
= 52.5 ÷ 2
= 26.25 ℓ
Volume of water by Tap A for 8 min
= 8 x 4.2
= 33.6 ℓ
Duration that Tap B was turned
= 13 - 8
= 5 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 5 min
= 33.6 - 26.25
= 7.35 ℓ
Volume of water that flowed out in 1 min
= 7.35 ÷ 5
= 1.47 ℓ
Volume of water that flowed out of Tap B in 1 min
= 4.2 + 1.47
= 5.67 ℓ
(b)
Duration from 6.13 p.m. to 6.28 p.m. = 15 min
Volume of water that flowed out from 6.13 p.m. to 6.28 p.m.
= 15 x 1.47
= 22.05 ℓ
Volume of water left at 6.28 p.m.
= 26.25 - 22.05
= 4.2 ℓ
Fraction of the tank filled with water at 6.28 p.m.
=
4.252.5 =
225
Answer(s): (a) 5.67 ℓ; (b) 225