SSC CPO 2019 PYQ — Question 106

SSC CPO Tier I - 12th December 2019 - Shift 1 • Quantitative Aptitude • Q106

Pipes A and B can fill a tank in 16 hours, where as pipe C alone can empty the full tank in 24 hours. A  and B are opened together for 10 hours and then closed. Pipe C was then opened. The then will now be emptied by C in?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3 i.e. 15 hrs

Application

According to the question,

1/A + 1/B = 1/16

And 1/C = - 1/24

Pipe A and B both were open 10 hours together and t is the time taken to empty the tank by C

So, (1/A + 1/B) - t(1/C) = 0

10/16 = t/24

t = (10 × 24)/16 = 15 hrs