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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?

Question:
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.