Multiple choice

A bus takes 3 hours to travel from A to B. How long will a car take to travel one quarter of the same distance at an average speed that is one and a half times that of the bus?

  1. 15 minutes

  2. 25 minutes

  3. 30 minutes

  4. 45 minutes

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

Distance AB = Speed * Time = 66 * 3 = 198 km. One quarter distance = 198/4 = 49.5 km. New speed = 1.5 * 66 = 99 km/hr. Time = Distance / Speed = 49.5 / 99 = 0.5 hours = 30 minutes.

AI explanation

Let the speed of the bus be S, so the speed of the car is one and a half times S, which is 1.5 multiplied by S. Since the bus takes 3 hours for the whole distance, a car traveling at this speed would take 3 divided by 1.5 hours, which is 2 hours for the full distance. To travel one quarter of the distance, the car takes one quarter of 2 hours, which is half an hour or 30 minutes.

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