Transitive speed comparison — Decide if the final relation is implied Premise 1: Taking the train across town is quicker than taking the bus. Premise 2: Taking the bus across town is slower than driving a car. Claim (to evaluate): Taking the train.

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Solve this multiple-choice question and choose the correct option.

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Introduction / Context:This item tests whether two pairwise comparisons force a third comparison. We compare travel modes by relative speed (quicker means higher speed/less time). We must check whether “train vs. car” is determined from the two given premises. Given Data / Assumptions: Train quicker than bus. Bus slower than car (equivalently, car quicker than bus). No explicit comparison between train and car is given. Conditions (traffic, routes) are assumed constant within each premise but not across modes unless stated. Concept / Approach: From A > B and C > B, nothing follows about A vs. C. Either A > C, A = C, or C > A could hold. Therefore, the claim cannot be deduced. Step-by-Step Solution: Let speeds be numeric: bus = 10 units.Choose train = 12 (train quicker than bus) and car = 14 (car quicker than bus). Then train quicker than car is false.Alternatively, if car = 11 and train = 15, then the claim is true. Both scenarios satisfy the premises, so the claim is indeterminate. Verification / Alternative check: Graphically: both train and car lie to the right of bus on a speed line, but their mutual order is unspecified. Why Other Options Are Wrong: true / false: Each can be consistent with the premises; neither is forced.both true and false: A single world cannot have contradictory comparisons; uncertainty reflects multiple possible worlds. Common Pitfalls: Assuming transitivity incorrectly from “better than bus” for both modes. Transitivity needs a chain A > B > C to infer A > C, which we do not have here. Final Answer: uncertain

Transitive speed comparison — Decide if the final relation is implied Premise 1: Taking the train across town is quicker than taking the bus. Premise 2: Taking the bus across town is slower than driving a car. Claim (to evaluate): Taking the train across town is quicker than driving a car.

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