SSC GD 2025 PYQ — Question 41

SSC GD Const 2025 (English) - 19 Feb 2025 - Shift 2 • Quantitative Aptitude • Q41

Kamal travels from City A to City B. If Kamal drives his car at 14\frac 1 4 of his normal speed, then he reaches City B 54 minutes late. Find the time (in minutes) that Kamal would have taken to travel from City A to City B if he drove at his normal speed.

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 18

Let normal time = t minutes

Normal speed = S

Reduced speed = 1/4 × S

So, distance = S × t

When speed = 1/4 × S,
Time taken = distance ÷ (1/4 × S)

= (S × t) ÷ (1/4 × S) = 4t

Given he is 54 minutes late,

4t − t = 54

3t = 54

t = 18