guerrero25
Between 7 A.M. and 9 A.M., on average 50 percent of the parking spaces at a parking lot near Stoneville International Airport were occupied. During these two hours approximately 8 cars were parked in the parking lot every 5 minutes. Between 9 A.M. and 11 A.M. of the same day, on average 70 percent of the parking spaces of the same parking lot were occupied, even though only 6 cars were parked every 5 minutes.
Which of the following, if true, helps to resolve the apparent discrepancy above?
(A)Fewer cars have left the parking lot between 9 A.M. and 11 A.M. than between 7A.M. and 9 A.M.
(B)Between 9 A.M. and 11 A.M., a parking lot at a mall situated near the airport, was filled, and some people who came to the mall had to park their cars at the parking lot near the Stoneville International Airport.
(C)Fewer planes departed from Stoneville International Airport between 9 A.M. and 11 A.M. than between 7 A.M. and 9 A.M.
(D)The number of large cars parked at the parking lot near Stoneville International Airport between 9 A.M. and 11 A.M. was greater than between 7 A.M. and 9 A.M.
(E)Some of the cars that were parked before 7 A.M. left the parking lot only after 11 A.M.
Ans: (A) Fewer cars have left the parking lot between 9 A.M. and 11 A.M. than between 7A.M. and 9 A.M.
The discrepancy:- 7–9 A.M.: higher arrival rate (8 cars / 5 min) but 50% average occupancy.
- 9–11 A.M.: lower arrival rate (6 cars / 5 min) yet 70% average occupancy.
To reconcile this, we need something that increases net cars (arrivals − departures) in the later window—i.e., fewer departures 9–11. That’s exactly what (A) states.
(B) Mall lot full, some mall visitors park at the airport lot. This would
increase arrivals 9–11, but the problem already fixes the arrival rate at
6 per 5 minutes. The statement can’t change a given data point; at best it repeats “there were arrivals,” which we already know. It says nothing about
departures, so it doesn’t explain the higher occupancy with a lower inflow.
(C) Fewer planes departed 9–11 than 7–9. Airport flight departures don’t directly determine parking
departures. Fewer flights leaving could even imply
fewer new arrivals (consistent with the given 6/5 min) but tells us nothing about how many parked cars
left the lot. Without reducing car
departures, this doesn’t explain higher occupancy.
(D) More large cars parked 9–11 than 7–9. Occupancy is stated as a percentage of
spaces occupied, and standard lots assign
one space per car regardless of size. Unless large cars take multiple marked spaces (not stated), car size doesn’t raise the
count of spaces occupied per car. So this doesn’t affect the occupancy percentage in the needed way.
(E) Some cars parked before 7 A.M. left only after 11 A.M. This describes cars that stayed through
both intervals, boosting occupancy in
both periods. It doesn’t explain why occupancy was
higher in the
later period despite lower arrivals; we still need fewer
departures specifically between 9–11.