PSLE The figure shows taps A and B and an empty tank. At 2 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 2.13 p.m., the tank was half filled with water.
- How many litres of water flowed out of tap B in 1 minute?
- At 2.24 p.m., what fraction of the tank was filled with water?
(a)
Volume of the tank
= 60 x 35 x 20
= 42000 mℓ
= 42 ℓ
Volume of the tank at 2.13 p.m. when it was half filled with water
= 42 ÷ 2
= 21 ℓ
Volume of water by Tap A for 7 min
= 7 x 4.5
= 31.5 ℓ
Duration that Tap B was turned
= 13 - 7
= 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
= 31.5 - 21
= 10.5 ℓ
Volume of water that flowed out in 1 min
= 10.5 ÷ 6
= 1.75 ℓ
Volume of water that flowed out of Tap B in 1 min
= 4.5 + 1.75
= 6.25 ℓ
(b)
Duration from 2.13 p.m. to 2.24 p.m. = 11 min
Volume of water that flowed out from 2.13 p.m. to 2.24 p.m.
= 11 x 1.75
= 19.25 ℓ
Volume of water left at 2.24 p.m.
= 21 - 19.25
= 1.75 ℓ
Fraction of the tank filled with water at 2.24 p.m.
=
1.7542 =
124
Answer(s): (a) 6.25 ℓ; (b) 124