Tap A can fill a tank in 12 hrs while tap B can fill it in 15 hrs. If both the taps are opened together and after 3 hrs tap B is closed then in how much time will tap A take to fill the remaining tank
Answers
Answer:
Step-by-step explanation:
Let us name the 3 Taps be T
A
,T
B
,T
C
where T
B
,T
C
are emptying pipes and T
A
is filling Pipe.
Water Emptied by T
B
in 6 hours=Volume of Tank or V
Water Emptied by T
B
in 1 Hour=
6
V
Similarly, Water Emptied by T
C
in 8 Hour=V
Water Emptied by T
C
in 1 Hour=
8
V
Similarly, Water Supplied by T
A
in 2 Hour=V
Water Supplied by T
A
in 1 Hour=
2
V
After 2 Hours,
⇒2
2
V
−2
8
V
−2
6
V
=
12
5V
After 3 Hours,
⇒
12
5V
+
2
V
−
6
V
=
4
3V
Now, only T
A
is opened
Remaining Volume=V−
4
3V
=
4
V
Now Time taken to Fill Remaining Tank
⇒
2
V
4
V
=
2
1
hrs=30min
Therefore Answer is (C)