SSC CGL 2023 PYQ — Question 56

SSC CGL - 27 July 2023 - Shift 2 • Quantitative Aptitude • Q56

A certain distance is covered by a person at a certain speed. If another person covers 25% of the distance in triple the time, the ratio of the speed of the first person to that of the second person is:

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 12 ∶ 1.

Speed of the first person = d/t

the second person covers 25% of the distance in triple the time. So, the distance covered by the second person = 0.25d

Time taken by the second person = 3t

Thus, the speed of the second-person = 0.25d/3t = d/12t

Ratio of speeds = (d/t)/(d/12t)

⇒ dt\frac{d}{t} × 12td\frac{12t}{d} = 12

Thus, the ratio of the speed of the first person to that of the second person = 12 : 1