SSC CPO 2019 PYQ — Question 112

SSC CPO Tier I - 12th March 2019 - Shift 1 • Quantitative Aptitude • Q112

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

Show answer & explanation

Correct answer: D

Explanation

The correct answer is Option 4 i.e. 15 hours

Efficiency of pipe A and pipe B = 1/16 th part/hr

Part of the tank filled in 10 hrs = 10/16

Efficiency of pipe C = 1/24 th part/hr

Time taken to empty 10/16 th part =10/16 × 24 = 15 hrs

Pipe C will empty the tank in 15 hrs