Multiple choice

Quantity I- The speed of a man decreases by 2.5 km every hour. If he travels 17.5km in the first hour, find the total distance after 5 hours Quantity II- A man travels at an average speed of 8kmph and completes a certain distance of his journey on time. If the average speed becomes 6kmph, he becomes 90min late. Find distance?

  1. Quantity I > Quantity II

  2. Quantity I ≥ Quantity II

  3. Quantity II > Quantity I

  4. Quantity II ≥ Quantity I

  5. Quantity I = Quantity II or Relation cannot be established
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A Correct answer
Explanation

Quantity I: Speed decreases by 2.5 km/h each hour, starting at 17.5 km/h. Distances per hour: 17.5, 15, 12.5, 10, 7.5. Total = 17.5 + 15 + 12.5 + 10 + 7.5 = 62.5 km. Quantity II: Let distance = D, scheduled time = T. At 8 km/h: T = D/8. At 6 km/h: Time = D/6. Delay = D/6 - D/8 = D/24 = 1.5 hours. Solving: D = 1.5 × 24 = 36 km. Comparing: 62.5 > 36, so Quantity I > Quantity II.

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