Multiple choice

Two cars start towards each other, from two places $A$ and $B$ which are at a distance of $160$ km. The start at the same time $8:10$ AM. If the speeds of the cars are $50$ km and $30$ km per hour respectively, they will meet each other at

  1. $10 : 10$ AM
  2. $10 : 30$ AM
  3. $11 : 10$ AM
  4. $11 : 20$ AM
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A Correct answer
Explanation

Relative speed = 50 + 30 = 80 km/h. Distance = 160 km. Time to meet = 160 / 80 = 2 hours. Start time 8:10 AM + 2 hours = 10:10 AM.

AI explanation

Using the relative speed formula for objects moving towards each other, their effective speed is the sum of their individual speeds: 50 km/h + 30 km/h = 80 km/h. The total distance is 160 km, so the time taken to meet is distance divided by speed: 160 / 80 = 2 hours. Adding 2 hours to the 8:10 AM start time gives 10:10 AM.