Two pipes A and B can fill a tank in 15 minutes and 20 minutes respectively. Both the pipes are opened together but after 4 minutes, pipe A is turned off. What is the total time required to fill the tank?
Two pipes A and B can fill a tank in 15 minutes and 20 minutes respectively. Both the pipes are opened together but after 4 minutes, pipe A is turned off. What is the total time required to fill the tank?
[A].
10 min. 20 sec.
[B].
11 min. 45 sec.
[C].
12 min. 30 sec.
[D].
14 min. 40 sec.
Answer: Option D
Explanation:
Part filled in 4 minutes = 4
1
+
1
=
7
.
15
20
15
Remaining part =
1 -
7
=
8
.
15
15
Part filled by B in 1 minute =
1
20
1
:
8
:: 1 : x
20
15
x =
8
x 1 x 20
= 10
2
min = 10 min. 40 sec.
15
3
The tank will be full in (4 min. + 10 min. + 40 sec.) = 14 min. 40 sec.