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.

AASHTO 4-Phase d1 – d4 Breakdown Metric & Imperial AASHTO Comparison Advanced Params
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Unit System

Design Speed

Edit fields below to override AASHTO empirical values.

Overtaking vehicle speed minus slower vehicle speed

Average passing vehicle acceleration

Perception-reaction + initial acceleration time

Time passing vehicle occupies opposing lane

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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.

Slow vehicle Oncoming Start d1 Reaction & accel. d2 Opposing lane d3 Gap d4 Oncoming vehicle Total PSD = d1 + d2 + d3 + d4 Passing vehicle path Slow vehicle Oncoming vehicle Centre line→ Direction of travel →

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.
d1 = k × t1 × (V − m + a×t1/2)
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.

PropertyStopping SSDPassing PSD
PurposeStop before obstacleComplete overtaking manoeuvre
At 80 km/h (AASHTO)≈ 130 m≈ 420 m
At 100 km/h (AASHTO)≈ 185 m≈ 570 m
Road typeAll roadsTwo-lane undivided only
Controls passing zone markingNoYes

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)
4016025500
5020030600
6027040800
7034545900
80420501000
90490551100
100570601200
110640651300
120720701400

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?

AASHTO PSD = d1 + d2 + d3 + d4. Phase 1 (d1) is the distance during perception-reaction and initial acceleration: d1 = k × t1 × (V − m + a×t1/2). Phase 2 (d2) is travel in the opposing lane: d2 = k × V × t2. Phase 3 (d3) is a fixed 30 m safety gap. Phase 4 (d4) = (2/3)×d2, representing the distance traveled by the oncoming vehicle. The factor k is 0.278 for metric and 1.47 for imperial.

How far do you need to see to overtake on a two-lane road?

At 80 km/h (50 mph), AASHTO requires at least 420 m (1,000 ft) of clear sight distance to establish a passing zone. At 100 km/h (60 mph) the minimum rises to 570 m (1,200 ft). These distances assume AASHTO default timing parameters; actual available sight distance must be measured from the driver's eye position along the road centreline.

What is the difference between passing sight distance and stopping sight distance?

Stopping sight distance (SSD) is the distance a driver needs to stop before hitting an object in their lane — it applies to every point on every road. Passing sight distance is much longer (3–4× at typical speeds) and only applies to undivided two-lane roads. At 80 km/h, AASHTO SSD ≈ 130 m; AASHTO PSD ≈ 420 m.

What are the four phases of an AASHTO passing manoeuvre?

Phase 1 (d1): Driver perceives a safe opportunity and accelerates to passing speed. Phase 2 (d2): Passing vehicle travels in the opposing lane alongside the slower vehicle — the dominant phase, typically 65–70% of total PSD. Phase 3 (d3): Fixed 30 m safety clearance between passing vehicle and oncoming vehicle at return to lane. Phase 4 (d4): Distance traveled by the oncoming vehicle during phases 1 and 2, set by AASHTO as (2/3)×d2.

How do highway engineers design passing zones?

Engineers perform a sight distance survey along the route, measuring available forward sight distance at 10 m or 20 m stations from a 1.08 m eye height. Any station where available sight distance meets or exceeds the design PSD for that speed can be the start or continuation of a passing zone. The percentage of the route with adequate PSD is reported and compared against HCM level-of-service thresholds.

Can I use this calculator for UK overtaking sight distance (TD 9/93)?

The UK Department for Transport standard TD 9/93 uses a different model for full overtaking sight distance (FOSD) — it is derived from a 10-second overtaking manoeuvre at design speed and results in different values from AASHTO. This calculator implements the AASHTO model only. For UK design, consult Design Manual for Roads and Bridges (DMRB) TD 9/93 directly.