Multiple choice

A thief escaped from police custody. Since he was sprinter he could clock $40 km/hr$. The police realized it after $3$ hr and started chasing him in the same direction at $50 km/hr$. The distance travelled by police is equal to

  1. $20 km$
  2. $600 km$
  3. $660 km$
  4. $360 km$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Thief travels for 3 hours at 40 km/hr = 120 km lead. Relative speed = 50 - 40 = 10 km/hr. Time to catch = 120 / 10 = 12 hours. Distance traveled by police = 50 km/hr * 12 hr = 600 km.

AI explanation

In 3 hours, the thief gains a lead of 40 multiplied by 3, which is 120 km. The relative speed of the police is 50 minus 40, which is 10 km/hr, so the time taken to catch the thief is 120 divided by 10, giving 12 hours. The total distance travelled by the police is their speed multiplied by time, which is 50 multiplied by 12, yielding 600 km.

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