Basic Freeway Segment Highway Capacity
Transportation · FE Reference Handbook section
Handbook notes for this section
Definitions and conditions exactly as the handbook states them.
- Speed Flow Relationship for Basic Freeway Segments
- * All equations are based on Exhibit 12-6 and Equation 12-1 from the HCM 6th Edition assuming
- all calibration factors (CAF and SAF) set to 1.0
- Average Lane Width (ft) Reduction in FFS, fLW (mph)
- HCM: Highway Capacity Manual, 6th ed., A Guide for Multimodal Mobility Analysis, Transportation
Core formulas for this FE topic
Definitions, applicability, units, assumptions and worked examples for each relation.
Worked exam-style examples
The four ways this section is written on the real exam — thoughts first, then equations, then substitution.
a basic freeway segment highway capacity analysis for a level-terrain freeway Given hourly volume (V) = 3,050 veh/h; peak hour factor (PHF) = 0.9100; number of lanes (N) = 4.0000; heavy vehicle adjustment factor (f_HV) = 0.8700; driver population factor (f_p) = 0.9600, determine the flow rate (v_p) in pc/h/ln.
Given
Find
flow rate (v_p), in pc/h/ln
Start with the thinking
- The governing relation printed in this handbook section is Basic Freeway Segment Highway Capacity.
- Everything except v_p is given, so isolate v_p symbolically first — never rearrange after the numbers are in.
- Tabulate each given with its unit and confirm the units are consistent with the relation before substituting.
- The basic freeway segment highway capacity relation converts hourly volume into an equivalent passenger-car flow rate per lane.
Step-by-step solution
Step 1 — State the governing relation:
Step 2 — Rearrange the relation so that v_p stands alone on the left-hand side.
Step 3 — List the givens: hourly volume (V) = 3,050 veh/h, peak hour factor (PHF) = 0.9100, number of lanes (N) = 4.0000, heavy vehicle adjustment factor (f_HV) = 0.8700, driver population factor (f_p) = 0.9600.
Step 4 — Substitute the given values into the rearranged relation.
Step 5 — Evaluate:
Step 6 — Check: returning v_p = 1,003 pc/h/ln to
reproduces the given quantities, and both sides carry the same units.
Why the other options are there
- 2,006 — kept a factor of two that cancels in the correct rearrangement.
- 501.6 — dropped that same factor in the other direction.
- 1,104 — rounded an intermediate value before the final step.
Reference: FE Handbook — Basic Freeway Segment Highway Capacity
highway capacity analysis of a basic freeway segment during peak hour Given peak hour factor (PHF) = 0.9100; number of lanes (N) = 3.0000; heavy vehicle adjustment factor (f_HV) = 0.9400; driver population factor (f_p) = 0.9400; flow rate (v_p) = 1,650 pc/h/ln, determine the hourly volume (V) in veh/h.
Given
Find
hourly volume (V), in veh/h
Start with the thinking
- The governing relation printed in this handbook section is Basic Freeway Segment Highway Capacity.
- Everything except V is given, so isolate V symbolically first — never rearrange after the numbers are in.
- Tabulate each given with its unit and confirm the units are consistent with the relation before substituting.
- The basic freeway segment highway capacity relation converts hourly volume into an equivalent passenger-car flow rate per lane.
Step-by-step solution
Step 1 — State the governing relation:
Step 2 — Rearrange the relation so that V stands alone on the left-hand side.
Step 3 — List the givens: peak hour factor (PHF) = 0.9100, number of lanes (N) = 3.0000, heavy vehicle adjustment factor (f_HV) = 0.9400, driver population factor (f_p) = 0.9400, flow rate (v_p) = 1,650 pc/h/ln.
Step 4 — Substitute the given values into the rearranged relation.
Step 5 — Evaluate:
Step 6 — Check: returning V = 3,980 veh/h to
reproduces the given quantities, and both sides carry the same units.
Why the other options are there
- 7,960 — kept a factor of two that cancels in the correct rearrangement.
- 1,990 — dropped that same factor in the other direction.
- 4,378 — rounded an intermediate value before the final step.
Reference: FE Handbook — Basic Freeway Segment Highway Capacity
basic freeway segment capacity with heavy-vehicle traffic Given hourly volume (V) = 4,650 veh/h; peak hour factor (PHF) = 0.8600; heavy vehicle adjustment factor (f_HV) = 0.8800; driver population factor (f_p) = 0.8800; flow rate (v_p) = 1,880 pc/h/ln, determine the number of lanes (N).
Given
Find
number of lanes (N)
Start with the thinking
- The governing relation printed in this handbook section is Basic Freeway Segment Highway Capacity.
- Everything except N is given, so isolate N symbolically first — never rearrange after the numbers are in.
- Tabulate each given with its unit and confirm the units are consistent with the relation before substituting.
- The basic freeway segment highway capacity relation converts hourly volume into an equivalent passenger-car flow rate per lane.
Step-by-step solution
Step 1 — State the governing relation:
Step 2 — Rearrange the relation so that N stands alone on the left-hand side.
Step 3 — List the givens: hourly volume (V) = 4,650 veh/h, peak hour factor (PHF) = 0.8600, heavy vehicle adjustment factor (f_HV) = 0.8800, driver population factor (f_p) = 0.8800, flow rate (v_p) = 1,880 pc/h/ln.
Step 4 — Substitute the given values into the rearranged relation.
Step 5 — Evaluate:
Step 6 — Check: returning N = 3.7139 to
reproduces the given quantities, and both sides carry the same units.
Why the other options are there
- 7.4278 — kept a factor of two that cancels in the correct rearrangement.
- 1.8570 — dropped that same factor in the other direction.
- 4.0853 — rounded an intermediate value before the final step.
Reference: FE Handbook — Basic Freeway Segment Highway Capacity
a basic freeway segment highway capacity analysis for a level-terrain freeway Given hourly volume (V) = 1,500 veh/h; peak hour factor (PHF) = 0.9600; number of lanes (N) = 4.0000; heavy vehicle adjustment factor (f_HV) = 0.9000; driver population factor (f_p) = 1.0000, determine the flow rate (v_p) in pc/h/ln.
Given
Find
flow rate (v_p), in pc/h/ln
Start with the thinking
- The governing relation printed in this handbook section is Basic Freeway Segment Highway Capacity.
- Everything except v_p is given, so isolate v_p symbolically first — never rearrange after the numbers are in.
- Tabulate each given with its unit and confirm the units are consistent with the relation before substituting.
- The basic freeway segment highway capacity relation converts hourly volume into an equivalent passenger-car flow rate per lane.
Step-by-step solution
Step 1 — State the governing relation:
Step 2 — Rearrange the relation so that v_p stands alone on the left-hand side.
Step 3 — List the givens: hourly volume (V) = 1,500 veh/h, peak hour factor (PHF) = 0.9600, number of lanes (N) = 4.0000, heavy vehicle adjustment factor (f_HV) = 0.9000, driver population factor (f_p) = 1.0000.
Step 4 — Substitute the given values into the rearranged relation.
Step 5 — Evaluate:
Step 6 — Check: returning v_p = 434.0 pc/h/ln to
reproduces the given quantities, and both sides carry the same units.
Why the other options are there
- 868.1 — kept a factor of two that cancels in the correct rearrangement.
- 217.0 — dropped that same factor in the other direction.
- 477.4 — rounded an intermediate value before the final step.
Reference: FE Handbook — Basic Freeway Segment Highway Capacity
highway capacity analysis of a basic freeway segment during peak hour Given peak hour factor (PHF) = 0.9000; number of lanes (N) = 3.0000; heavy vehicle adjustment factor (f_HV) = 0.8800; driver population factor (f_p) = 0.9200; flow rate (v_p) = 900.0 pc/h/ln, determine the hourly volume (V) in veh/h.
Given
Find
hourly volume (V), in veh/h
Start with the thinking
- The governing relation printed in this handbook section is Basic Freeway Segment Highway Capacity.
- Everything except V is given, so isolate V symbolically first — never rearrange after the numbers are in.
- Tabulate each given with its unit and confirm the units are consistent with the relation before substituting.
- The basic freeway segment highway capacity relation converts hourly volume into an equivalent passenger-car flow rate per lane.
Step-by-step solution
Step 1 — State the governing relation:
Step 2 — Rearrange the relation so that V stands alone on the left-hand side.
Step 3 — List the givens: peak hour factor (PHF) = 0.9000, number of lanes (N) = 3.0000, heavy vehicle adjustment factor (f_HV) = 0.8800, driver population factor (f_p) = 0.9200, flow rate (v_p) = 900.0 pc/h/ln.
Step 4 — Substitute the given values into the rearranged relation.
Step 5 — Evaluate:
Step 6 — Check: returning V = 1,967 veh/h to
reproduces the given quantities, and both sides carry the same units.
Why the other options are there
- 3,935 — kept a factor of two that cancels in the correct rearrangement.
- 983.7 — dropped that same factor in the other direction.
- 2,164 — rounded an intermediate value before the final step.
Reference: FE Handbook — Basic Freeway Segment Highway Capacity
basic freeway segment capacity with heavy-vehicle traffic Given hourly volume (V) = 2,250 veh/h; peak hour factor (PHF) = 0.8800; heavy vehicle adjustment factor (f_HV) = 0.9300; driver population factor (f_p) = 0.8700; flow rate (v_p) = 2,020 pc/h/ln, determine the number of lanes (N).
Given
Find
number of lanes (N)
Start with the thinking
- The governing relation printed in this handbook section is Basic Freeway Segment Highway Capacity.
- Everything except N is given, so isolate N symbolically first — never rearrange after the numbers are in.
- Tabulate each given with its unit and confirm the units are consistent with the relation before substituting.
- The basic freeway segment highway capacity relation converts hourly volume into an equivalent passenger-car flow rate per lane.
Step-by-step solution
Step 1 — State the governing relation:
Step 2 — Rearrange the relation so that N stands alone on the left-hand side.
Step 3 — List the givens: hourly volume (V) = 2,250 veh/h, peak hour factor (PHF) = 0.8800, heavy vehicle adjustment factor (f_HV) = 0.9300, driver population factor (f_p) = 0.8700, flow rate (v_p) = 2,020 pc/h/ln.
Step 4 — Substitute the given values into the rearranged relation.
Step 5 — Evaluate:
Step 6 — Check: returning N = 1.5644 to
reproduces the given quantities, and both sides carry the same units.
Why the other options are there
- 3.1288 — kept a factor of two that cancels in the correct rearrangement.
- 0.7822 — dropped that same factor in the other direction.
- 1.7208 — rounded an intermediate value before the final step.
Reference: FE Handbook — Basic Freeway Segment Highway Capacity
a basic freeway segment highway capacity analysis for a level-terrain freeway Given hourly volume (V) = 600.0 veh/h; peak hour factor (PHF) = 0.9200; number of lanes (N) = 3.0000; heavy vehicle adjustment factor (f_HV) = 0.9800; driver population factor (f_p) = 0.8700, determine the flow rate (v_p) in pc/h/ln.
Given
Find
flow rate (v_p), in pc/h/ln
Start with the thinking
- The governing relation printed in this handbook section is Basic Freeway Segment Highway Capacity.
- Everything except v_p is given, so isolate v_p symbolically first — never rearrange after the numbers are in.
- Tabulate each given with its unit and confirm the units are consistent with the relation before substituting.
- The basic freeway segment highway capacity relation converts hourly volume into an equivalent passenger-car flow rate per lane.
Step-by-step solution
Step 1 — State the governing relation:
Step 2 — Rearrange the relation so that v_p stands alone on the left-hand side.
Step 3 — List the givens: hourly volume (V) = 600.0 veh/h, peak hour factor (PHF) = 0.9200, number of lanes (N) = 3.0000, heavy vehicle adjustment factor (f_HV) = 0.9800, driver population factor (f_p) = 0.8700.
Step 4 — Substitute the given values into the rearranged relation.
Step 5 — Evaluate:
Step 6 — Check: returning v_p = 255.0 pc/h/ln to
reproduces the given quantities, and both sides carry the same units.
Why the other options are there
- 509.9 — kept a factor of two that cancels in the correct rearrangement.
- 127.5 — dropped that same factor in the other direction.
- 280.5 — rounded an intermediate value before the final step.
Reference: FE Handbook — Basic Freeway Segment Highway Capacity
highway capacity analysis of a basic freeway segment during peak hour Given peak hour factor (PHF) = 0.8800; number of lanes (N) = 3.0000; heavy vehicle adjustment factor (f_HV) = 0.9700; driver population factor (f_p) = 0.9100; flow rate (v_p) = 640.0 pc/h/ln, determine the hourly volume (V) in veh/h.
Given
Find
hourly volume (V), in veh/h
Start with the thinking
- The governing relation printed in this handbook section is Basic Freeway Segment Highway Capacity.
- Everything except V is given, so isolate V symbolically first — never rearrange after the numbers are in.
- Tabulate each given with its unit and confirm the units are consistent with the relation before substituting.
- The basic freeway segment highway capacity relation converts hourly volume into an equivalent passenger-car flow rate per lane.
Step-by-step solution
Step 1 — State the governing relation:
Step 2 — Rearrange the relation so that V stands alone on the left-hand side.
Step 3 — List the givens: peak hour factor (PHF) = 0.8800, number of lanes (N) = 3.0000, heavy vehicle adjustment factor (f_HV) = 0.9700, driver population factor (f_p) = 0.9100, flow rate (v_p) = 640.0 pc/h/ln.
Step 4 — Substitute the given values into the rearranged relation.
Step 5 — Evaluate:
Step 6 — Check: returning V = 1,491 veh/h to
reproduces the given quantities, and both sides carry the same units.
Why the other options are there
- 2,983 — kept a factor of two that cancels in the correct rearrangement.
- 745.7 — dropped that same factor in the other direction.
- 1,641 — rounded an intermediate value before the final step.
Reference: FE Handbook — Basic Freeway Segment Highway Capacity
basic freeway segment capacity with heavy-vehicle traffic Given hourly volume (V) = 3,200 veh/h; peak hour factor (PHF) = 0.9500; heavy vehicle adjustment factor (f_HV) = 0.9400; driver population factor (f_p) = 0.9200; flow rate (v_p) = 1,630 pc/h/ln, determine the number of lanes (N).
Given
Find
number of lanes (N)
Start with the thinking
- The governing relation printed in this handbook section is Basic Freeway Segment Highway Capacity.
- Everything except N is given, so isolate N symbolically first — never rearrange after the numbers are in.
- Tabulate each given with its unit and confirm the units are consistent with the relation before substituting.
- The basic freeway segment highway capacity relation converts hourly volume into an equivalent passenger-car flow rate per lane.
Step-by-step solution
Step 1 — State the governing relation:
Step 2 — Rearrange the relation so that N stands alone on the left-hand side.
Step 3 — List the givens: hourly volume (V) = 3,200 veh/h, peak hour factor (PHF) = 0.9500, heavy vehicle adjustment factor (f_HV) = 0.9400, driver population factor (f_p) = 0.9200, flow rate (v_p) = 1,630 pc/h/ln.
Step 4 — Substitute the given values into the rearranged relation.
Step 5 — Evaluate:
Step 6 — Check: returning N = 2.3896 to
reproduces the given quantities, and both sides carry the same units.
Why the other options are there
- 4.7792 — kept a factor of two that cancels in the correct rearrangement.
- 1.1948 — dropped that same factor in the other direction.
- 2.6285 — rounded an intermediate value before the final step.
Reference: FE Handbook — Basic Freeway Segment Highway Capacity
a basic freeway segment highway capacity analysis for a level-terrain freeway Given hourly volume (V) = 3,050 veh/h; peak hour factor (PHF) = 0.9300; number of lanes (N) = 4.0000; heavy vehicle adjustment factor (f_HV) = 0.8600; driver population factor (f_p) = 0.9300, determine the flow rate (v_p) in pc/h/ln.
Given
Find
flow rate (v_p), in pc/h/ln
Start with the thinking
- The governing relation printed in this handbook section is Basic Freeway Segment Highway Capacity.
- Everything except v_p is given, so isolate v_p symbolically first — never rearrange after the numbers are in.
- Tabulate each given with its unit and confirm the units are consistent with the relation before substituting.
- The basic freeway segment highway capacity relation converts hourly volume into an equivalent passenger-car flow rate per lane.
Step-by-step solution
Step 1 — State the governing relation:
Step 2 — Rearrange the relation so that v_p stands alone on the left-hand side.
Step 3 — List the givens: hourly volume (V) = 3,050 veh/h, peak hour factor (PHF) = 0.9300, number of lanes (N) = 4.0000, heavy vehicle adjustment factor (f_HV) = 0.8600, driver population factor (f_p) = 0.9300.
Step 4 — Substitute the given values into the rearranged relation.
Step 5 — Evaluate:
Step 6 — Check: returning v_p = 1,025 pc/h/ln to
reproduces the given quantities, and both sides carry the same units.
Why the other options are there
- 2,050 — kept a factor of two that cancels in the correct rearrangement.
- 512.6 — dropped that same factor in the other direction.
- 1,128 — rounded an intermediate value before the final step.
Reference: FE Handbook — Basic Freeway Segment Highway Capacity