Water flows into a container through Tap L and flows out of the container through Tap M. The capacity of a container is 54 litres. When only Tap L is turned on, the container is completely filled in 12 minutes. When only Tap M 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 36% of the container?
- How much water has flowed out through Tap M by the time the container is 25 filled with water? Express your answer in litres.
(a)
Tap L :
12 min → 1 container
1 min →
112 container
13 hour =
13 x 60 = 20 min
Tap M:
20 min → 1 container
1 min →
120 container
Tap L and Tap M:
1 min →
112 -
120 =
560 -
360 =
130 container
1 container →
301 = 30 min
36% container → 36% x 30 = 10.8 min
(b)
Time taken to fill
25 of the container
1 container → 30 min
25 container → 30 x
25 = 12 min
Volume that flows out per min
=
120 container
=
120 x 54
= 2.7 ℓ
Volume of water that flowed out through Tap M in 12 min
= 12 x 2.7
= 32.4 ℓ
Answer(s): (a) 10.8 min; (b) 32.4 ℓ