Multiple choice

Directions: You are given two quantities, Quantity I and Quantity II. Compare the two quantities and choose the correct option accordingly. Speed of a boat in still water and speed of the current are in the ratio 7 : 3. The difference between distances covered by the boat going 2 hr upstream and 2 hr downstream is 36 km. Quantity I: Speed of the boat in still water Quantity II: Speed of the rubber bullet that covers 10 m in 2 seconds

  1. Quantity I > Quantity II

  2. Quantity I < Quantity II

  3. Quantity I = Quantity II

  4. No relation
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A Correct answer
Explanation

Let boat speed = 7x, current = 3x. Upstream = 4x, Downstream = 10x. Distance diff = 2(10x) - 2(4x) = 36 => 12x = 36 => x = 3. Boat speed = 21 km/h. Quantity II: 10m / 2s = 5 m/s = 18 km/h. 21 > 18.

AI explanation

Let the speed of the boat in still water be 7x and the speed of the current be 3x, making the downstream speed 10x and the upstream speed 4x. The difference in distances covered in 2 hours is (2 times 10x) minus (2 times 4x), which equals 12x. Setting this equal to 36 km gives 12x equals 36, so x equals 3; therefore, the boat's speed in still water is 7 times 3, which is 21 km/hr. Quantity II is the speed of a bullet covering 10 m in 2 seconds, which is 5 m/s, and converting this to km/hr by multiplying by 18 divided by 5 gives 18 km/hr. Since 21 km/hr is greater than 18 km/hr, Quantity I is greater than Quantity II.

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