Toll Route Calculator Formula

Understand the math behind the toll route calculator. Each variable explained with a worked example.

Formulas Used

Toll Route Total Cost

toll_total_cost = total_tolls + toll_fuel_cost

Free Route Total Cost (fuel only)

free_total_cost = free_fuel_cost

Toll Route Premium

cost_difference = total_tolls + toll_fuel_cost - free_fuel_cost

Variables

VariableDescriptionDefault
num_tollsNumber of Toll Points4
avg_toll_costAverage Toll Cost(USD)3.5
toll_route_milesToll Route Distance(miles)200
free_route_milesToll-Free Route Distance(miles)230
mpgVehicle MPG(mpg)28
gas_priceGas Price(USD/gal)3.5
total_tollsDerived value= num_tolls * avg_toll_costcalculated
toll_fuel_costDerived value= toll_route_miles / mpg * gas_pricecalculated
free_fuel_costDerived value= free_route_miles / mpg * gas_pricecalculated

How It Works

Toll vs Free Route Comparison

Toll roads save time but cost more. Comparing total costs (tolls plus fuel) against the free alternative helps you decide.

Formula

Toll Route Cost = (Number of Tolls x Average Toll) + (Toll Miles / MPG x Gas Price)

Free Route Cost = Free Miles / MPG x Gas Price

Divide the cost difference by the time saved to get your effective "hourly wage" for taking the toll road.

Worked Example

4 tolls at $3.50 average, toll route 200 miles, free route 230 miles, 28 MPG, $3.50/gal.

num_tolls = 4avg_toll_cost = 3.5toll_route_miles = 200free_route_miles = 230mpg = 28gas_price = 3.5
  1. 01Total tolls = 4 x $3.50 = $14.00
  2. 02Toll fuel cost = 200 / 28 x $3.50 = $25.00
  3. 03Toll total = $14.00 + $25.00 = $39.00
  4. 04Free fuel cost = 230 / 28 x $3.50 = $28.75
  5. 05Toll premium = $39.00 - $28.75 = $10.25 more for toll route

Ready to run the numbers?

Open Toll Route Calculator