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Among routes with scheduled duration at least 180 minutes, the route with the lowest average delay also has the highest on-time rate.: Yes
No route with on-time rate below 80% has an average fare above $350.: No
Among routes whose fastest recorded time is at least 20 minutes shorter than the scheduled duration, exactly one route has on-time rate at least 85% and average fare below $200.: Yes
The table shows information for 10 airline routes. For each route, the data include scheduled duration (minutes), fastest recorded time (minutes), average delay (minutes), on-time rate (percent), and average fare (USD).
For each of the following statements, select Yes if it accurately reflects the information provided. Otherwise, select No.
| Route | Scheduled (min) | Fastest (min) | Avg delay (min) | On-time rate (%) | Avg fare ($) |
|---|---|---|---|---|---|
| BOS–ORD | 135 | 120 | 9 | 86 | 210 |
| JFK–LAX | 360 | 320 | 22 | 72 | 345 |
| ATL–MIA | 118 | 95 | 8 | 88 | 185 |
| SEA–SFO | 125 | 110 | 17 | 79 | 160 |
| DFW–DEN | 140 | 115 | 12 | 84 | 190 |
| LAX–SFO | 95 | 78 | 15 | 81 | 140 |
| IAD–DFW | 195 | 170 | 14 | 83 | 230 |
| ORD–ATL | 115 | 100 | 11 | 85 | 200 |
| SFO–JFK | 350 | 315 | 25 | 69 | 360 |
| MIA–ORD | 175 | 150 | 13 | 82 | 220 |
For each of the following statements, select Yes if it accurately reflects the information provided. Otherwise, select No.
| Yes | No | |
| Among routes with scheduled duration at least 180 minutes, the route with the lowest average delay also has the highest on-time rate. | ||
| No route with on-time rate below 80% has an average fare above $350. | ||
| Among routes whose fastest recorded time is at least 20 minutes shorter than the scheduled duration, exactly one route has on-time rate at least 85% and average fare below $200. |
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Official Answer
Among routes with scheduled duration at least 180 minutes, the route with the lowest average delay also has the highest on-time rate.: Yes
No route with on-time rate below 80% has an average fare above $350.: No
Among routes whose fastest recorded time is at least 20 minutes shorter than the scheduled duration, exactly one route has on-time rate at least 85% and average fare below $200.: Yes
25 Sep 2025, 02:44
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Official Solution:
• Among routes with scheduled duration at least 180 minutes, the route with the lowest average delay also has the highest on-time rate.
The routes meeting scheduled ≥ 180 are JFK–LAX, SFO–JFK, and IAD–DFW. Their average delays are 22, 25, and 14; on-time rates are 72, 69, and 83. IAD–DFW has both the lowest delay (14) and the highest on-time rate (83).
Answer: Yes
• No route with on-time rate below 80% has an average fare above $350.
SFO–JFK has on-time 69% and average fare $360, which is above $350, so it is a counterexample.
Answer: No
• Among routes whose fastest recorded time is at least 20 minutes shorter than the scheduled duration, exactly one route has on-time rate at least 85% and average fare below $200.
The gap (scheduled minus fastest) is at least 20 on JFK–LAX, ATL–MIA, DFW–DEN, IAD–DFW, SFO–JFK, and MIA–ORD. Among these, only ATL–MIA meets both on-time ≥ 85% (88) and fare < $200 ($185).
Answer: Yes
Correct answer:
Among routes with scheduled duration at least 180 minutes, the route with the lowest average delay also has the highest on-time rate. "Yes"
No route with on-time rate below 80% has an average fare above $350. "No"
Among routes whose fastest recorded time is at least 20 minutes shorter than the scheduled duration, exactly one route has on-time rate at least 85% and average fare below $200. "Yes"
Bunuel
• Among routes with scheduled duration at least 180 minutes, the route with the lowest average delay also has the highest on-time rate.
The routes meeting scheduled ≥ 180 are JFK–LAX, SFO–JFK, and IAD–DFW. Their average delays are 22, 25, and 14; on-time rates are 72, 69, and 83. IAD–DFW has both the lowest delay (14) and the highest on-time rate (83).
Answer: Yes
• No route with on-time rate below 80% has an average fare above $350.
SFO–JFK has on-time 69% and average fare $360, which is above $350, so it is a counterexample.
Answer: No
• Among routes whose fastest recorded time is at least 20 minutes shorter than the scheduled duration, exactly one route has on-time rate at least 85% and average fare below $200.
The gap (scheduled minus fastest) is at least 20 on JFK–LAX, ATL–MIA, DFW–DEN, IAD–DFW, SFO–JFK, and MIA–ORD. Among these, only ATL–MIA meets both on-time ≥ 85% (88) and fare < $200 ($185).
Answer: Yes
Correct answer:
Among routes with scheduled duration at least 180 minutes, the route with the lowest average delay also has the highest on-time rate. "Yes"
No route with on-time rate below 80% has an average fare above $350. "No"
Among routes whose fastest recorded time is at least 20 minutes shorter than the scheduled duration, exactly one route has on-time rate at least 85% and average fare below $200. "Yes"
