Multiple choice

Directions: In the following question, two quantities are given. Compare these quantities and choose the correct option accordingly. Quantity I: A car starts from A and another from B at the same time. A and B are 70 km apart. If they move in same direction, they meet in 7 hours and if they move in opposite directions, they meet in 2 hours. The sum of the speeds of the cars Quantity II: 25 km/hr

  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
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A Correct answer
Explanation

Let speeds be u and v. (u-v) = 70/7 = 10. (u+v) = 70/2 = 35. Quantity I (sum of speeds) = 35. Quantity II = 25. Since 35 > 25, Quantity I > Quantity II.

AI explanation

When moving in opposite directions, the sum of their speeds equals the total distance divided by the time, so 70 km divided by 2 hours gives 35 km/hr. When moving in the same direction, the difference of their speeds equals 70 km divided by 7 hours, which is 10 km/hr. The sum of the speeds in Quantity I is 35 km/hr, which is greater than the 25 km/hr in Quantity II.

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