Multiple choice

Following questions have two quantities as Quantity I and Quantity II. You have to determine the relationship between them and give answer as, a) Quantity I > Quantity II b) Quantity I ≥ Quantity II c) Quantity I < Quantity II d) Quantity I ≤ Quantity II e) Quantity I = Quantity II or Relation cannot be established Quantity I: A car covered a distance of 210 km in 14 hours. Ratio of the speed of bike to speed of the car is 4: 3. In how much distance will the bike cover in 3 hours? Quantity II: A man goes from his house to office at the speed of 20 kmph and reaches the office at 15 minutes late. If he increases his speed by 5 kmph and reaches the office in time, then what is the distance between house and office?

  1. A

  2. B

  3. C

  4. D

  5. E
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Quantity I: Car speed = 210/14 = 15 km/hr. Bike speed = 4/3 * 15 = 20 km/hr. Distance in 3 hours = 20 * 3 = 60 km. Quantity II: Let distance be D. D/20 - D/25 = 15/60 = 1/4. (5D - 4D)/100 = 1/4. D = 25 km. Since 60 > 25, Quantity I > Quantity II.

AI explanation

For Quantity I, the car's speed is 210 km divided by 14 hours, which equals 15 kmph; using the 4:3 ratio, the bike's speed is 20 kmph, meaning it covers 60 km in 3 hours. For Quantity II, letting the usual time be t hours, the equations are D = 20(t - 0.25) and D = 25(t); solving gives t = 1 hour, so the distance is 25 km. Comparing the two quantities, 60 km is greater than 25 km.

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