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A toll plaza's operator reports that a vehicle waits on average 40 seconds at the gate and holds that the plaza is therefore working well within the limit of three minutes laid down in its agreement with the highway authority. The readings from which the average is drawn were taken each day between two and four in the afternoon, the two hours at which fewest vehicles reach the plaza. The operator's reasoning is most open to criticism because it

Competition practiceLogical / Critical
  • Adoes not state how many lanes of the plaza are kept open at a time
  • Brelies on readings taken by the operator's own staff and not by the highway authority
  • Cdraws an average for the whole day from the two hours at which the gate is under least pressure, when the limit in the agreement is a promise about the waiting vehicles actually meet — and the vehicles that meet the longest waits are the ones the readings leave out
  • Dgives the waiting in seconds when the limit in the agreement is expressed in minutes

Step-by-Step Solution

The agreement protects every vehicle that comes to the gate, and the operator has measured only the hours in which almost none does. The queue that the limit exists to prevent forms at the busy hours, and those hours have been kept out of the average altogether, so a plaza that holds vehicles for ten minutes each evening would return the very figure reported. How many lanes are open bears on why the queues form, not on which hours were sampled. Who took the readings is not the trouble — an inspector of the authority reading the same two hours would get the same misleading 40 seconds. And seconds and minutes are the same measure differently expressed.
Answer: C) draws an average for the whole day from the two hours at which the gate is under least pressure, when the limit in the agreement is a promise about the waiting vehicles actually meet — and the vehicles that meet the longest waits are the ones the readings leave out

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