A tank can be filled with two pipes in 30minutes and 45minutes When the tank was empty the two pipes...........

Quantitative Aptitude ( CCS) Pipes&cistern

A tank can be filled with two pipes in 30minutes and 45minutes. When the tank was empty the two pipes A and B were opened. After some time, the first pipe A was closed and the tank was filled in 24minutes. After how much time from the start was the first pipe A closed?

16 days

15 days

14 days

12 days

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Explanation:

Solution:
A = 30, B = 45
LCM = 90
So, A = 90/30 = 3
. B = 90/45 = 2
B worked for all 24 days means did 24*2 = 48 units work
Remaining work = 90-48 = 42
This work is done by A, so 42/3 = 14 days