Three tap A B and C can fill the tank in 6 hours Working together after 2 hour tap c is closed Tap A...........

Quantitative Aptitude (CDS) Pipes&cistern

Three tap A, B, and C can fill the tank in 6 hours. Working together after 2-hour tap c is closed. Tap A and B fill the tank in 8 hours.C will take time to fill the tank in how much time?

22hours

13hours

24hours

20hours

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Explanation:

A ,B andC filled 2 hour
2(1/A +1/B +1/C)=1
(1/A +1/B +1/C)=1/2
in two hours they filled half
in 6 hours they filled complete
6(1/A +1/B +1/C)=1
(1/A +1/B +1/C)=1/6... equation 1
A and B filled in 8 hours
1/A + 1/B =1/8 ... equation 2
solving 1 and 2
1/C=1/6 -1/8
1/C=2/48
C=24 hours