Multiple choice

Rahul steals a car at 2:30 p.m. from a police station and drives down a straight stretch of road at a speed of 30 km/hr. At 3:00 p.m, the police starts following him with a speed of 40 km/hr. At what time will the police catch Rahul?

  1. 3:45 p.m.

  2. 3:30 p.m.

  3. 4:30 p.m.

  4. 4:00 p.m.

  5. Na
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Rahul's lead at 3:00 pm = 30 km/hr * 0.5 hr = 15 km. Relative speed = 40 - 30 = 10 km/hr. Time to catch = 15 / 10 = 1.5 hours. 3:00 pm + 1.5 hours = 4:30 pm.

AI explanation

Using the relative speed concept for objects moving in the same direction, the police gain on Rahul at a rate of 40 km/hr minus 30 km/hr, which is 10 km/hr. By 3:00 p.m., Rahul has travelled for half an hour at 30 km/hr to create a lead of 15 km. The police need 15 km divided by 10 km/hr, equaling 1.5 hours, to close this gap. Adding 1 hour and 30 minutes to the 3:00 p.m. start time means the police catch Rahul at 4:30 p.m.

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