Multiple choice

Two quantities that is I and II are given in following questions. Students is expected to solve the quantities and answer them according to given options by comparing their numerical values. Quantity I: Aastha reaches her school from her house in 12 hours. If she increases her speed by 20%, then how long will she take to cover the same distance? Quantity II: Aastha reaches her school from her house in 10 hours. If she decreases her speed by 10%, then how long will she take to cover the same distance?

  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 relation can’t be established.

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

Quantity I: If speed increases by 20%, new speed is 1.2 times original. Time and speed are inversely proportional, so new time = 12 ÷ 1.2 = 10 hours. Quantity II: If speed decreases by 10%, new speed is 0.9 times original. New time = 10 ÷ 0.9 ≈ 11.11 hours. Therefore, Quantity I (10) < Quantity II (11.11), making option C correct.