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Difficulty: HardResolving Paradoxes and Apparent Discrepancies

In 2024, a metropolitan public transit authority replaced its flat-fare structure on suburban commuter lines with a distance-based pricing model, resulting in a 25 percent increase in the average price of long-distance single-ride suburban tickets. Transit analysts predicted this fare hike would decrease total single-ride passenger volume on suburban lines. Surprisingly, over the subsequent twelve months, total single-ride passenger trips recorded across the suburban network increased by 15 percent, even though suburban population growth remained static and no new residential developments were constructed. Which of the following, if true, most helps to resolve the apparent discrepancy described above?

  1. The distance-based fare structure significantly reduced ticket prices for short-distance trips within suburban districts, attracting a large volume of local commuters who previously walked or drove.Answer
  2. B
    The transit authority decreased the frequency of suburban train departures during non-peak hours, increasing average rider wait times.
  3. C
    A major regional highway expansion completed two years prior to the fare restructuring permanently reduced vehicular commute times into the city center.
  4. D
    Commuters traveling long distances from suburban stations report higher average household incomes than commuters taking short local trips.
  5. E
    Many long-distance suburban riders reacted to the single-ride price hike by purchasing monthly unlimited passes, which are tracked separately from single-ride trips.

Answer

The apparent discrepancy is best resolved by the fact that the distance-based fare structure lowered prices for short-distance suburban trips, driving a substantial surge in local ridership that increased total single-ride trips overall.
The correct answer resolves the paradox by demonstrating that while long-distance single-ride ticket prices rose, the distance-based system concurrently lowered short-distance single-ride ticket prices. The influx of new short-distance riders created a net increase in total single-ride trips across the suburban network, reconciling the 25% price increase on long-distance tickets with the 15% overall increase in single-ride trip volume.

Step-by-Step Solution

1
Identify the two conflicting premises in the stimulus
Premise 1: Long-distance single-ride suburban tickets increased in price by 25%, leading analysts to expect a drop in suburban transit ridership. Premise 2: Total single-ride trips on suburban lines actually increased by 15% without any population growth.
Resolving a paradox requires finding an underlying cause that permits both premises to be true simultaneously.
2
Evaluate the scope of the price increase versus the scope of the outcome metric
The price increase affected long-distance single-ride tickets specifically, but the outcome metric measures total single-ride trips across the entire suburban network (which includes short-distance trips).
A change in short-distance fare pricing under the new distance-based model could reconcile the overall net increase.
3
Select the option that supplies the missing reconciling variable
The option showing that short-distance ticket prices decreased significantly accounts for a surge in short-distance single-ride trips that offsets any reduction in long-distance trips.
This bridges both stated facts without disputing either premise.

Key Concept

Resolving Paradoxes and Apparent Discrepancies
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Resolving Paradoxes and Apparent Discrepancies

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