There are two filling pipes A and B If A fills bottom 3 4th tank and B fills the rest tank then they...........

Quantitative Aptitude ( CCS) Pipes&cistern

There are two filling pipes A and B. If A fills bottom 3/4th tank and B fills the rest tank, then they can fill the tank in 18 minutes. If B fills bottom 3/4th tank and A fills the rest tank, then they can fill the tank in 22 minutes. What is the time taken by both the pipes to fill the tank together?

8 1/4 minutes

10 1/3 minutes

9 3/5 minutes

10 3/5 minutes

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Explanation:

Explanation:
Let A can fill complete tank in x minutes, then 3/4 in 3/4 * x minutes
Let B can fill tank in y minutes, so 1/4 in 1/4 * x minutes
So from given information:
3x/4 + y/4 = 18
and x/4 + 3y/4 = 22
Solve both the equations, x = 16, y = 24
So together they complete 1/16 + 1/24 = 5/48 tank in 1 minute or whole tank in 48/5 = 9 3/5 minutes