Water flows into a container through Tap E and flows out of the container through Tap F. The capacity of a container is 60 litres. When only Tap E is turned on, the container is completely filled in 12 minutes. When only Tap F is turned on, it takes
12 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 62% of the container?
- How much water has flowed out through Tap F by the time the container is 45 filled with water? Express your answer in litres.
(a)
Tap E :
12 min → 1 container
1 min →
112 container
12 hour =
12 x 60 = 30 min
Tap F:
30 min → 1 container
1 min →
130 container
Tap E and Tap F:
1 min →
112 -
130 =
560 -
260 =
120 container
1 container →
201 = 20 min
62% container → 62% x 20 = 12.4 min
(b)
Time taken to fill
45 of the container
1 container → 20 min
45 container → 20 x
45 = 16 min
Volume that flows out per min
=
130 container
=
130 x 60
= 2 ℓ
Volume of water that flowed out through Tap F in 16 min
= 16 x 2
= 32 ℓ
Answer(s): (a) 12.4 min; (b) 32 ℓ