Multiple choice

Two friends A and B are standing at points P and Q respectively. A starts moving from points P towards point Q with speed of (x – 2.5) km/hr. After 2 hours, B starts moving towards point P from point Q with speed of (x + 5) km/hr. and they meet at the midpoint of P and Q. Find the time taken by A to go from point P to point Q, if the distance between point P and point Q is 360 km.

  1. 20 hours

  2. 16 hours

  3. 12 hours

  4. 15 hours

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Since A and B meet at the midpoint, each travels 180 km. A travels for t hours, B starts 2 hours late so travels (t-2) hours. Equating distances: (x-2.5)t = 180 and (x+5)(t-2) = 180. Solving gives x = 25 and t = 8 hours to reach midpoint. Total time for full 360 km journey = 360/(x-2.5) = 360/22.5 = 16 hours.

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