SSC GD 2019 PYQ — Question 73

SSC GD Constable (English) - 14 Feb 2019 Shift 2 • Quantitative Aptitude • Q73

Pipe C can fill a tank in 12 hours and pipe D can fill the same tank in 40 hours. In how many hours both pipe C and D together can fill the same tank?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 120/13 hours

Let the capacity of tank be LCM of 12 and 40 i.e 120

Efficiency = Total work/Time taken

Efficiency of pipe C = 120/12 = 10 Unit

Efficiency of pipe D = 120/40 = 3 Unit

Efficiency of C + D = 10 + 3 = 13 Unit

Time taken to fill the tank by pipe C and D together = 120/13 hours.