Multiple choice

Directions: In the following question, we have two quantities given. Compare these quantities and answer accordingly with the following given options. Quantity I: A boat goes 17 km along the stream in 1 hour and 9 km against the stream in 1 hour. The speed of the boat in still water. Quantity II: 10 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 boat speed be B and stream speed be S. B+S = 17, B-S = 9. Adding equations: 2B = 26, B = 13 km/hr. Quantity I (13) > Quantity II (10).

AI explanation

Use the formulas speed of the boat in still water equals (downstream speed plus upstream speed) divided by 2, and downstream and upstream speeds equal distance divided by time. The downstream speed is 17 divided by 1, which is 17 km/hr, and the upstream speed is 9 divided by 1, which is 9 km/hr. The speed of the boat in still water is (17 + 9) / 2, which equals 13 km/hr. Since 13 km/hr is greater than 10 km/hr, Quantity I is greater than Quantity II.

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