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25 Sep 2025, 08:33
Kudos
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A metropolitan transit authority is considering two plans (Plans A and B) for a new public transportation route. Both plans would provide the same passenger capacity annually. Plan A would use two subway trains, while Plan B would use five buses.
Subway trains consume less fuel per passenger transported but generate construction debris that is costly to dispose of. Buses create no such debris.
In terms of emissions, trains release about twice as much nitrogen exhaust and more than twice as much particulate matter per passenger as buses.
Finally, the two vehicle types differ in noise: each subway train is louder than each bus.
Subway trains consume less fuel per passenger transported but generate construction debris that is costly to dispose of. Buses create no such debris.
In terms of emissions, trains release about twice as much nitrogen exhaust and more than twice as much particulate matter per passenger as buses.
Finally, the two vehicle types differ in noise: each subway train is louder than each bus.
For each of the following statements, select Yes if it is supported by the information in the tabs. Otherwise, select No.
| Yes | No | |
| The Pollution Index for Plan A is more than twice that for Plan B. | ||
| The Health Cost Index for Plan B is less than half that for Plan A. | ||
| The Overall Index for Plan A is more than double that for Plan B. |
ShowHide Answer
Official Answer
The Pollution Index for Plan A is more than twice that for Plan B.: Yes
The Health Cost Index for Plan B is less than half that for Plan A.: Yes
The Overall Index for Plan A is more than double that for Plan B.: Yes
25 Sep 2025, 08:33
Kudos
Bookmarks
Official Solution:
Plan A:
PI = 2×12 + 3×9 = 51,
HCI = 0.5×12 + 9 = 15,
OI = (51 + 15)/2 = 33
Plan B:
PI = 2×6 + 3×4 = 24,
HCI = 0.5×6 + 4 = 7,
OI = (24 + 7)/2 = 15.5
• The Pollution Index for Plan A is more than twice that for Plan B.
51 > 2×24 → Yes
• The Health Cost Index for Plan B is less than half that for Plan A.
7 < 0.5×15 → Yes
• The Overall Index for Plan A is more than double that for Plan B.
33 > 2×15.5 → Yes
Correct answer:
The Pollution Index for Plan A is more than twice that for Plan B. "Yes"
The Health Cost Index for Plan B is less than half that for Plan A. "Yes"
The Overall Index for Plan A is more than double that for Plan B. "Yes"
Bunuel
Plan A:
PI = 2×12 + 3×9 = 51,
HCI = 0.5×12 + 9 = 15,
OI = (51 + 15)/2 = 33
Plan B:
PI = 2×6 + 3×4 = 24,
HCI = 0.5×6 + 4 = 7,
OI = (24 + 7)/2 = 15.5
• The Pollution Index for Plan A is more than twice that for Plan B.
51 > 2×24 → Yes
• The Health Cost Index for Plan B is less than half that for Plan A.
7 < 0.5×15 → Yes
• The Overall Index for Plan A is more than double that for Plan B.
33 > 2×15.5 → Yes
Correct answer:
The Pollution Index for Plan A is more than twice that for Plan B. "Yes"
The Health Cost Index for Plan B is less than half that for Plan A. "Yes"
The Overall Index for Plan A is more than double that for Plan B. "Yes"
