Multiple choice

Passage

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How many kilometres long is the route from A to B? (I) It will take 1 hour less time to travel the entire route at an average rate of 55 km/hr than at an average rate of 50 km/hr. (II) Route AB is more than 80 km long.

  1. (1)

  2. (2)

  3. (3)

  4. (4)

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A Correct answer
Explanation

Let distance be D. D/50 - D/55 = 1. (11D - 10D) / 550 = 1 => D = 550. Statement (I) is sufficient. Statement (II) is just a condition. Thus (1) is sufficient.

AI explanation

Statement I alone can answer the question because it provides two distinct average speeds and their exact time difference, which allows us to form the equation D divided by 50 minus D divided by 55 equals 1. Solving this linear equation gives D equals 10 multiplied by 55, meaning statement I is sufficient. Statement II only gives a loose inequality that the distance is more than 80 km, so it does not provide enough data to find the exact length of the route.