Zakir travels from City A to City B. If Zakir drives his car at \(\frac{2}{3}\) of his normal speed, then he reaches City B 10 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.

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This question was previously asked in

SSC GD Constable 2025 Official Paper (Held On: 06 Feb, 2025 Shift 1)

Answer 1

Given:

Zakir travels from City A to City B.

If Zakir drives his car at \(\frac{2}{3}\) of his normal speed, then he reaches City B 10 minutes late.

Find the time (in minutes) Zakir would have taken to travel from City A to City B if he drove at his normal speed.

Formula used:

Let normal time = t minutes.

Time taken at \(\frac{2}{3}\) speed = \(\frac{t}{\frac{2}{3}}\) = \(\frac{3t}{2}\)

Delay = Time at reduced speed - Normal time

Delay = 10 minutes

Calculation:

Delay = \(\frac{3t}{2} - t\)

⇒ \(\frac{3t}{2} - t = 10\)

⇒ \(\frac{3t}{2} - \frac{2t}{2} = 10\)

⇒ \(\frac{t}{2} = 10\)

⇒ t = 20

∴ The correct answer is option (1).

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