Passing Sight Distance Calculator
Calculate AASHTO passing (overtaking) sight distance for two-lane highway design. Computes all four phase distances — d1 through d4 — from design speed, and compares results against tabulated AASHTO Green Book minimums.
Select a unit system, enter a design speed, and click Calculate PSD to see the four-phase passing sight distance breakdown.
The Four Phases of an AASHTO Passing Manoeuvre
Top-down view of a two-lane highway. The passing vehicle (teal path) must complete the full manoeuvre within the available sight distance before meeting the oncoming vehicle.
What Is Passing Sight Distance?
Passing sight distance (PSD) is the minimum length of roadway ahead that a driver must be able to see clearly in order to safely overtake a slower vehicle on a two-lane, two-way highway and return to the correct lane before meeting an oncoming vehicle. It is one of the two fundamental sight distance criteria in AASHTO highway geometric design, the other being stopping sight distance.
Unlike stopping sight distance, which affects every stretch of road, passing sight distance is only relevant on undivided two-lane roads where vehicles share opposing lanes during overtaking. A passing zone is a section of road where PSD is available; a no-passing zone is where it is not. Highway engineers use PSD calculations to determine where passing zones can be safely established and what percentage of the route permits overtaking.
PSD is significantly longer than stopping sight distance. At 80 km/h, AASHTO minimum stopping sight distance is approximately 130 m; the corresponding minimum PSD is 420 m — more than three times as long.
The AASHTO 4-Phase Passing Sight Distance Model
AASHTO Green Book models the overtaking manoeuvre as four sequential phases, each contributing a distance component to the total PSD:
- d1 — Perception-reaction and initial acceleration. The driver recognises an opportunity to pass and accelerates from the following speed V−m to the passing speed V. Computed from phase-1 time t1 (empirically 3.6 + 0.031·V seconds), the speed difference m, and vehicle acceleration a.
- d2 — Time in opposing lane. The overtaking vehicle travels at speed V alongside the slower vehicle in the oncoming lane. Computed from phase-2 time t2 (empirically 9.3 + 0.079·V seconds). This is always the dominant phase — typically 65–70% of total PSD.
- d3 — Safety clearance gap. A fixed buffer of 30 m (metric) or 100 ft (imperial) between the overtaking vehicle as it returns to its lane and the oncoming vehicle. This represents the minimum acceptable gap at return-to-lane.
- d4 — Oncoming vehicle distance. The distance traveled by the oncoming vehicle during phases 1 and 2 combined. AASHTO sets this as (2/3)×d2, based on the assumption that the oncoming vehicle is traveling at approximately the same speed as the passing vehicle.
d2 = k × V × t2
d3 = 30 m (metric) or 100 ft (imperial)
d4 = (2/3) × d2
PSD = d1 + d2 + d3 + d4
where k = 0.278 (metric: km/h → m/s) or 1.47 (imperial: mph → ft/s).
Passing Sight Distance vs Stopping Sight Distance
Both are mandatory AASHTO design checks, but they serve entirely different purposes and produce very different distances. Stopping sight distance is the minimum for any road — a driver on any alignment must be able to stop before reaching a hazard. Passing sight distance is required only on undivided two-lane roads where overtaking is permitted, and it is governed by how long a passing manoeuvre actually takes.
| Property | Stopping SSD | Passing PSD |
|---|---|---|
| Purpose | Stop before obstacle | Complete overtaking manoeuvre |
| At 80 km/h (AASHTO) | ≈ 130 m | ≈ 420 m |
| At 100 km/h (AASHTO) | ≈ 185 m | ≈ 570 m |
| Road type | All roads | Two-lane undivided only |
| Controls passing zone marking | No | Yes |
AASHTO Minimum Passing Sight Distance Values by Design Speed
The following minimums are from AASHTO Green Book Table 3-5. They represent the absolute design floor — actual sight distances provided should meet or exceed these values wherever passing zones are designated.
| Speed (km/h) | Min PSD (m) | Speed (mph) | Min PSD (ft) |
|---|---|---|---|
| 40 | 160 | 25 | 500 |
| 50 | 200 | 30 | 600 |
| 60 | 270 | 40 | 800 |
| 70 | 345 | 45 | 900 |
| 80 | 420 | 50 | 1000 |
| 90 | 490 | 55 | 1100 |
| 100 | 570 | 60 | 1200 |
| 110 | 640 | 65 | 1300 |
| 120 | 720 | 70 | 1400 |
Source: AASHTO Green Book Table 3-5. Values are design minimums — a passing zone must provide at least this much unobstructed sight distance.
How Passing Zones Are Marked on Two-Lane Highways
Highway engineers conduct a sight distance survey along the entire length of a two-lane route. At each station, they measure the available sight distance in each direction. Any section where the available sight distance equals or exceeds the design PSD can be designated as a passing zone; shorter sections become no-passing zones marked with solid yellow centre lines.
The percentage of highway length that permits passing is a key level-of-service metric in the Highway Capacity Manual (HCM). A two-lane highway with less than 20% passing opportunity operates at a severely degraded level of service because platoons form behind slow vehicles and cannot be broken. PSD is the fundamental constraint on this metric.
Sight distance is measured with the observer eye height at 1.08 m (driver in a passenger car) and the target object height at 1.08 m (tail lights of the vehicle being passed) in AASHTO's current guidance. Earlier editions used different heights, so archived drawings may use slightly different PSD values.
Frequently Asked Questions
What is the AASHTO passing sight distance formula?
How far do you need to see to overtake on a two-lane road?
What is the difference between passing sight distance and stopping sight distance?
What are the four phases of an AASHTO passing manoeuvre?
How do highway engineers design passing zones?
Can I use this calculator for UK overtaking sight distance (TD 9/93)?
Related Calculators
Stopping Sight Distance Calculator
AASHTO SSD from speed, friction, and road grade
Sight Distance Obstruction Calculator
Check whether a roadside object blocks required sight lines
Horizontal Curve Calculator
Design safe roadway horizontal curves with AASHTO checks
Vertical Curve Calculator
K-value, high/low point, and curve length for sag and crest curves
Road Grade Calculator
Find grade percentage, elevation change, and horizontal distance