Multiple choice

Cyclist A started his journey on cycle at 7.30 a.m. at a speed of 8 km/hr. After 30 minutes, cyclist B started from the same place but with a speed of 10 km/hr. At what time did B overtake A?

  1. 8 a.m.

  2. 10 a.m.

  3. 9 a.m.

  4. 9.30 a.m.
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

A starts at 7:30, B at 8:00. In 30 mins, A travels 4 km. Relative speed = 10 - 8 = 2 km/hr. Time to overtake = Distance / Relative Speed = 4 / 2 = 2 hours after B starts. 8:00 + 2 hours = 10:00 a.m.

AI explanation

When B starts, A has already traveled for 30 minutes at 8 km/hr to create a lead of 4 km. The relative speed of B compared to A is 10 - 8 = 2 km/hr, so B closes the 4 km gap in 4 / 2 = 2 hours. Adding 2 hours to B's starting time of 7.30 a.m. gives the overtaking time of 10 a.m.

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