PSLE The figure shows taps A and B and an empty tank. At 10 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 7 minutes, tap B was turned on. At 10.12 p.m., the tank was half filled with water.
- How many litres of water flowed out of tap B in 1 minute?
- At 10.23 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 10.12 p.m. when it was half filled with water
= 52.5 ÷ 2
= 26.25 ℓ
Volume of water by Tap A for 7 min
= 7 x 4.5
= 31.5 ℓ
Duration that Tap B was turned
= 12 - 7
= 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
= 31.5 - 26.25
= 5.25 ℓ
Volume of water that flowed out in 1 min
= 5.25 ÷ 5
= 1.05 ℓ
Volume of water that flowed out of Tap B in 1 min
= 4.5 + 1.05
= 5.55 ℓ
(b)
Duration from 10.12 p.m. to 10.23 p.m. = 11 min
Volume of water that flowed out from 10.12 p.m. to 10.23 p.m.
= 11 x 1.05
= 11.55 ℓ
Volume of water left at 10.23 p.m.
= 26.25 - 11.55
= 14.7 ℓ
Fraction of the tank filled with water at 10.23 p.m.
=
14.752.5 =
725
Answer(s): (a) 5.55 ℓ; (b) 725