SarkariPYQ

SSC GD 2025 PYQ — Question 52

SSC GD Const 2025 (English) - 12 Feb 2025 - Shift 1 • Quantitative Aptitude • Q52

Back to paper

 Zakir travels from City A to City B. If Zakir drives his car at 232 \over3 of his normal speed, then he reaches City B 45 minutes late. Find the time (in minutes) that Zakir would have taken to travel from City A to City B if he drove at his normal speed.

Show answer & explanation

Correct answer: A

Explanation

The correct ansswer is option 1 i.e. 90

Let normal time = t minutes, normal speed = s, distance = d

Time at 2/3 ​s = d(2/3)s=3d2s\frac{d}{(2/3)s} = \frac{3d}{2s} = t + 45

But t = d/s ​, so

⇒3d2s=ds+4532t=t+45⇒t2=45⇒t=90\Rightarrow \frac{3d}{2s} = \frac{d}{s} + 45\\[1mm] \frac{3}{2}t = t + 45 \Rightarrow \frac{t}{2} = 45 \Rightarrow t = 90