Multiple choice

Priya starts driving her car from A to B and Namita starts driving her car from B to A along the same route and at the same time. They cross each other after one hour and Priya reaches B 5/6 hour before Namita reaches A. If the distance between A and B is 50 km, then what is the speed of Namita's car?

  1. 30 km/hr

  2. 40 km/hr

  3. 20 km/hr

  4. 25 km/hr

  5. None of these

Reveal answer Fill a bubble to check yourself
C Correct answer
AI explanation

Let Priya's speed be v1 and Namita's speed be v2; since they meet after 1 hour, the ratio of their speeds is equal to the ratio of the times they take to complete the remaining journey, meaning v1 divided by v2 equals (T plus 5/6) divided by T. The total distance is 50 km, and the sum of the distances they covered in the first hour equals 50, so v1 plus v2 equals 50. Knowing Priya takes time T and Namita takes time T plus 5/6 to reach their destinations from the meeting point, solving the equations yields Namita's speed as 20 km/hr.