Multiple choice

Two cyclists, Amit and Bimal, participate in a 50 kilometre race. Amit starts the cycling at a constant speed of 12 kilometres per hour. After 30 minutes, Bimal starts cycling at a constant speed of 15 kilometres per hour. What is the distance from the starting point where Bimal will meet Amit?

  1. 20 km

  2. 30 km

  3. 35 km

  4. 40 km

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

Amit travels for 0.5 hours at 12 km/h, covering 6 km before Bimal starts. The relative speed of Bimal to Amit is 15 - 12 = 3 km/h. Bimal needs 6 km / 3 km/h = 2 hours to catch up to Amit. In these 2 hours, Bimal travels 15 km/h * 2 hours = 30 km.

AI explanation

In the 30 minutes before Bimal starts, Amit travels 12 km/h multiplied by 0.5 hours, covering 6 km. When Bimal starts, the relative speed between them is 15 km/h minus 12 km/h, yielding 3 km/h. The time it takes for Bimal to close the 6 km gap at this relative speed is 6 divided by 3, which is 2 hours. Bimal travels 15 km/h multiplied by 2 hours, meeting Amit at a distance of 30 km from the starting point.

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