Multiple choice

Directions: The following question consists of two quantities, Quantity I and Quantity II. You are to compare the two quantities and find the correct relationship between both the quantities. Quantity I: A boat travels 6 km upstream and returns back to the starting point in 2 hours. The speed of the boat in still water, if the speed of water is 4 kmph, is: Quantity II: A boat travels 15 km upstream ans returns back to the starting point in 4 hours. The speed of the boat in still water, if the speed of water is 5 kmph, is:

  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
C Correct answer
AI explanation

For Quantity I, the total time is the distance divided by the upstream speed plus the distance divided by the downstream speed, giving 6 divided by x minus 4 plus 6 divided by x plus 4 equaling 2. Multiplying through yields a quadratic equation resulting in x equals 8 kmph. For Quantity II, using the same upstream and downstream formula gives 15 divided by y minus 5 plus 15 divided by y plus 5 equaling 4, which results in y equals 10 kmph. Since 8 is less than 10, Quantity I is less than Quantity II.

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