Water flows into a container through Tap D and flows out of the container through Tap E. The capacity of a container is 48 litres. When only Tap D is turned on, the container is completely filled in 12 minutes. When only Tap E is turned on, it takes
13 hour for all the water to flow out. If both taps are turned on at the same time,
- How long does it take to fill 38% of the container?
- How much water has flowed out through Tap E by the time the container is 45 filled with water? Express your answer in litres.
(a)
Tap D :
12 min → 1 container
1 min →
112 container
13 hour =
13 x 60 = 20 min
Tap E:
20 min → 1 container
1 min →
120 container
Tap D and Tap E:
1 min →
112 -
120 =
560 -
360 =
130 container
1 container →
301 = 30 min
38% container → 38% x 30 = 11.4 min
(b)
Time taken to fill
45 of the container
1 container → 30 min
45 container → 30 x
45 = 24 min
Volume that flows out per min
=
120 container
=
120 x 48
= 2.4 ℓ
Volume of water that flowed out through Tap E in 24 min
= 24 x 2.4
= 57.6 ℓ
Answer(s): (a) 11.4 min; (b) 57.6 ℓ