Multiple choice

Two persons A and B start at the same time from points P and Q and proceed towards each other at the speed of 80 km/hr and 90 km/hr respectively. When both meet at a point in between, B was found to have travelled 180 km more than A. Find the total distance between points P and Q.

  1. $2560 km$
  2. $2890 km$
  3. $2550 km$
  4. $3060 km$
  5. $None of these$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let t be the time until meeting. Distance by A = 80t, Distance by B = 90t. B travels 180 km more: 90t - 80t = 180, so 10t = 180, t = 18 hours. Total distance = 80(18) + 90(18) = (80 + 90) × 18 = 170 × 18 = 3060 km. Option D is correct.