SSC GD 2019 PYQ — Question 58

SSC GD Constable (English) - 1 March 2019 Shift 1 • Quantitative Aptitude • Q58

‘A’ pipe can empty a tank in 20 minutes. The second pipe ‘B’ has a diameter twice as that of ‘A’. If both A & B pipe are attached to the tank how much time will be required to empty the tank ?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e.  minutes

Suppose diameters of pipe 1st and pipe 2nd be 2unit and 4unit,so radius be 1unit and 2 unit respectively

so the ratio of area of pipe 1st and pipe 2nd will be π(1)2 : π (2)2 = 1: 4

here the ratio of efficiency of doing work of  both the pipes is 1 : 4

let the efficiency of doing work of both the pipes is x and 4x

Efficiency × time = Total work

total work = x × 20 = 20x

as we know that the first pipe is doing negative work so when they both opened simultaneously total work will be done by the efficiency of 4x - x = 3x

20x/3x = minutes