SSC CPO 2020 PYQ — Question 144

SSC CPO - 25 Nov 2020 - Shift 1 • Quantitative Aptitude • Q144

Two pipes A and B can fill a tank in 12 hours and 18 hours, respectively. Both pipes are opened simultaneously. In how much time will the empty tank be filled completely?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is Option 4 i.e 7 hours 12 minutes​​​​​​.

Time taken by Pipe A = 12 hours

Time taken by Pipe B = 18 hours

L.C.M = (12 and 18) = 72 units

The efficiency of Pipe A = 72/12 = 6 units

The efficiency of Pipe B = 72/18 = 4 units

Time taken to fill the tank = 72/(6 + 4) = 72/10 = 7 hours and 12 minutes