Multiple choice

Directions: The following question consists of two quantities, Quantity I and Quantity II. You are to compare them both and find the correct relationship between them. A boy is traveling by a car. He covers first 40 km at 20 km per hour and remaining 60 km at 40 km per hour. Quantity I: His average speed during his total distance Quantity II: 28 km/h

  1. Quantity I > Quantity II

  2. Quantity I < Quantity II

  3. Quantity I ≥ Quantity II

  4. Quantity I ≤ Quantity II

  5. Quantity I = Quantity II or no relation

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

Average speed = Total distance / Total time. Total distance = 40 + 60 = 100 km. Time 1 = 40/20 = 2 hours. Time 2 = 60/40 = 1.5 hours. Total time = 3.5 hours. Average speed = 100 / 3.5 = 28.57 km/h. Quantity I (28.57) > Quantity II (28).

AI explanation

Using the average speed formula for equal distances does not apply here, so we calculate total distance divided by total time. The total distance is 100 km. The time for the first part is 40 km divided by 20 km/h which is 2 hours, and the time for the second part is 60 km divided by 40 km/h which is 1.5 hours. The average speed is 100 km divided by 3.5 hours, giving approximately 28.57 km/h, which is greater than 28 km/h.