Question

Difficulty: Very hardSpace Ahead and Following Distance

A commercial driver is operating an 80-foot80\text{-foot} heavy combination vehicle on a dry interstate at a constant speed of 60 mph60\text{ mph} (which translates to 88 feet per second88\text{ feet per second}). A passenger vehicle abruptly changes lanes directly in front of the truck, leaving a physical gap of 308 feet308\text{ feet} between the two vehicles.

Assuming the commercial vehicle maintains its speed, what is the truck's current time gap to the passenger vehicle, and exactly how much additional following distance must the driver establish to comply with the standard CDL minimum safe space ahead formula?

  1. Current time gap: 3.5 seconds3.5\text{ seconds}; Additional distance required: 484 feet484\text{ feet}Answer
  2. B
    Current time gap: 3.5 seconds3.5\text{ seconds}; Additional distance required: 396 feet396\text{ feet}
  3. C
    Current time gap: 5.1 seconds5.1\text{ seconds}; Additional distance required: 234 feet234\text{ feet}
  4. D
    Current time gap: 3.5 seconds3.5\text{ seconds}; Additional distance required: 616 feet616\text{ feet}

Answer

The correct answer is a current time gap of 3.5 seconds3.5\text{ seconds} and an additional distance requirement of 484 feet484\text{ feet}.
The correct answer accurately determines both parameters. First, the current time gap is found by dividing the physical gap (308 feet308\text{ feet}) by the speed (88 feet per second88\text{ feet per second}), yielding 3.5 seconds3.5\text{ seconds}. Next, the standard CDL formula requires 1 second1\text{ second} of following distance for every 10 feet10\text{ feet} of vehicle length. For an 80-foot80\text{-foot} vehicle, this is 8 seconds8\text{ seconds}. Because the speed is at or above 40 mph40\text{ mph}, 1 additional second1\text{ additional second} must be added, totaling a required space of 9 seconds9\text{ seconds}. At 88 ft/s88\text{ ft/s}, a 9-second9\text{-second} gap equals 792 feet792\text{ feet}. The additional distance needed is the difference between the required distance and the current physical gap (792 feet−308 feet=484 feet792\text{ feet} - 308\text{ feet} = 484\text{ feet}).

Step-by-Step Solution

1
Calculate the current time gap.
Divide the physical gap (308 feet308\text{ feet}) by the speed (88 ft/s88\text{ ft/s}) to get 3.5 seconds3.5\text{ seconds}.
This establishes the exact reaction time window the driver currently has.
2
Determine the base required following time.
Divide the vehicle length (80 feet80\text{ feet}) by 1010 to get 8 seconds8\text{ seconds}.
The standard CDL formula requires 1 second1\text{ second} of following distance for every 10 feet10\text{ feet} of vehicle length.
3
Apply the speed modifier.
Add 1 second1\text{ second} because the speed (60 mph60\text{ mph}) is at or above 40 mph40\text{ mph}, totaling 9 seconds9\text{ seconds}.
Higher speeds demand a greater space cushion to allow for perception and reaction time.
4
Calculate the required physical distance.
Multiply the required time (9 seconds9\text{ seconds}) by the speed (88 ft/s88\text{ ft/s}) to get 792 feet792\text{ feet}.
This converts the required time gap into a measurable physical distance on the roadway.
5
Calculate the distance deficit.
Subtract the current gap (308 feet308\text{ feet}) from the required distance (792 feet792\text{ feet}) to get 484 feet484\text{ feet}.
This represents the exact distance the truck must drop back to re-establish a safe and compliant space cushion.

Key Concept

Calculating following distance deficits by comparing current time gaps to CDL length and speed requirements.
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