Multiple choice

Directions: In the following question, you have to compare Quantity I and Quantity II and then determine which of the following options describes the comparison. Quantity I. 18 km Quantity II. Distance between P and Q when a person in a ship travels upstream from Q to P and downstream from P to Q in 3 hours if the speed of the ship in still water is 9 km/hr and the speed of the current is 3 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
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Upstream speed = 9-3=6. Downstream = 9+3=12. Let distance be D. Time = D/6 + D/12 = 3. (2D+D)/12 = 3. 3D/12 = 3. D/4 = 3. D = 12. Quantity I (18) > Quantity II (12).

AI explanation

The upstream speed is 9 km/hr minus 3 km/hr, which equals 6 km/hr, and the downstream speed is 9 km/hr plus 3 km/hr, which equals 12 km/hr. Let the distance be D; using the total time of 3 hours, the equation is (D/6) + (D/12) = 3. Multiplying by 12 gives 2D + D = 36, so 3D = 36, meaning D equals 12 km. Comparing this to 18 km, Quantity I is greater than Quantity II. The result is Quantity I > Quantity II.

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