SSC GD 2024 PYQ — Question 47

SSC GD Const (English) - 24 Feb 2024 - Shift 4 • Quantitative Aptitude • Q47

Tom and Jerry can paint a house together in 9 days. If Tom alone can paint the same house in 15 days, how long will it take for Jerry to paint the house alone?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is Option 1 i.e. 45/2 days.

Tom and Jerry can paint a house together in 9 days and Tom alone can paint the same house in 15 days

L.C.M(9, and 15) = 45

The efficiency of Tom and Jerry = 45/9 = 5 units

The efficiency of Tom = 45/15 = 3 units

So, the efficiency of Jerry = 5 - 3 = 2 units

Now,

Time taken by Jerry = 45/2 days