There are three taps A B and C which can fill a tank in 12hrs 15hrs and 30 hrs respectively If the t...........

Quantitative Aptitude ( CCS) Pipes&cistern

There are three taps A, B and C which can fill a tank in 12hrs, 15hrs and 30 hrs respectively. If the tap A is opened first, after one hour tap B was opened and after 2 hours from the start of A, tap C is also opened. Find the time in which the tank is full.

6(2/11)hr

6(3/11)hr

5(3/11)hr

5(2/11)hr

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Explanation:

Answer & Explanation
Answer –a) 6(2/11)hr
Explanation :
In first hour only A is opened, in the next hour A and B are opened and in the third hour A, B and C are opened.
So, in three hours (3/12 + 2/15 + 1/30) = 25/60 tank is already filled.
Now, 25/60 = (1/12 + 1/15 + 1/30)*t
T = 25/11. Total time = 3 + 25/11 = 58/11=5(3/11) hours