Multiple choice

A father and his son start a point P with speed of 16 km/hr. and 24 km/hr. respectively and reach another point Q. If his son starts 60 min after his father at P and reaches Q 60 min. before his father, what is the distance between P and Q?

  1. 86 km.

  2. 72 km.

  3. 94 km.

  4. 96 km.

  5. None of these

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Father's time = d/16 hours. Son starts 60 min (1 hour) later, so son's travel time = d/24 hours. Son reaches 60 min (1 hour) before father. So: d/16 = d/24 + 1 + 1 = d/24 + 2. Multiply by 48: 3d = 2d + 96, so d = 96 km. Option D is correct.