Multiple choice

Directions: In this question, two Quantities I and II are given. You have to solve both the Quantities to establish the correct relation between Quantity I and Quantity II and choose the correct option. Pal travels by bus to school at an average speed of 40 kilometres per hour. He is driven home by the same route in his mother's car at an average speed of 50 kilometres per hour. Quantity I: Average speed for both parts of the journey Quantity II: 45 km/hr

  1. Quantity I > Quantity II

  2. Quantity I < Quantity II

  3. Quantity I ≥ Quantity II

  4. Quantity II ≥ Quantity I

  5. Quantity I = Quantity II or No relation
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Average speed = 2xy / (x+y) = 2 * 40 * 50 / (40+50) = 4000 / 90 = 44.44 km/hr. Quantity I (44.44) < Quantity II (45).

AI explanation

Using the average speed formula for equal distances, 2xy divided by (x plus y), Quantity I is 2 multiplied by 40 multiplied by 50 divided by the sum of 40 and 50. This calculates to 4000 divided by 90, which is approximately 44.44 km/hr. Since 44.44 km/hr is less than 45 km/hr, Quantity I is less than Quantity II.

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