Multiple choice

$A$ and $B$ start simultaneously from a certain point in North and South direction on motorcycles. The speed of $A$ is $80$ km/hr and that of $B$ is $65$ km/hr. What is the distance between $A$ and $B$ after $12$ minutes?

  1. $14.5$ km
  2. $29$ km
  3. $36.2$ km
  4. $39$ km
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

A and B move in opposite directions (North and South). Relative speed = 80 + 65 = 145 km/hr. Time = 12 minutes = 12/60 = 1/5 hours. Distance = Speed * Time = 145 * (1/5) = 29 km.

AI explanation

Using the relative speed concept for objects moving in opposite directions, their relative speed is the sum of their individual speeds: 80 km/hr plus 65 km/hr equals 145 km/hr. The time of travel is 12 minutes, which is 12/60 hours or 0.2 hours. Multiplying the relative speed by the time gives the total distance between them: 145 km/hr times 0.2 hours equals 29 km.

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