How would you estimate the total toll collected in one day across all the toll plazas in the country?
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Estimate the total toll collected in a day across all toll plazas in India
Tolls are of different types -
- National highway tolls
- State highway tolls
Reconfirming the question once – we want to estimate the total toll amount collected in all the total plazas across India in one day? à Yes
Toll booths are mainly on the national and state highways in India. It does not matter if a vehicle is passing from 1 state to another, if the vehicle is utilizing national or state highway while traversing even within a state, toll needs to be paid.
Total toll collection in a day = No. of toll booths in India (A) * Toll amount collected/booth in a day (B)
Let’s start with the estimation of (A):
Whenever we travel from Bangalore to any weekend getaways which are at a distance of 270-300km, we generally come across 3-4 toll booths on the way.
Total stretch of national highway ~ 150,000 km
Though, the stretch of state highway varies from 1 state to another depending on the state size, total stretch of state highway ~ 190,000 km
Assuming 3 tolls for every 300km (not differentiating between the number of tolls for a state highway vs national highway and not differentiating between the total density of 1 state vs another),
No. of toll booths in India (A) = 3 * (150000 + 190000) / 300 = 3 * 340000/300 = 3400.
Now, let’s move ahead with the estimation of (B):
Whenever we travel from Bangalore to any weekend getaways by a 4-seater SUV, we roughly pay around Rs40 to Rs150 at various toll booths. Also, different vehicles pay different toll amounts depending on the vehicle size.
So, lets assume at a single toll booth, a lightweight vehicle such as a 2-wheeler pays around Rs40, a medium weight vehicle such as a car pays about Rs 80 and a heavy weight vehicle such as a lorry pays about Rs 120.
It takes around 10 seconds for a vehicle to pass the toll booth and get the FASTag scanned.
There are around 5 lanes on each side of the road at a toll.
Total vehicles crossing a toll in 1 minute or 60 seconds = 2*5*60/10 =60.
Just from observation, in a 1-minute window, let the distribution of light weight, medium weight and heavy weight vehicles crossing the toll be: 20%, 60%, 20%
No. of light-weight vehicles crossing a toll in 1 minute = 20% of 60 = 12
No. of medium-weight vehicles crossing a toll in 1 minute = 60% of 60 = 36
No. of heavy-weight vehicles crossing a toll in 1 minute = 20% of 60 = 12
Toll collected in 1 minute at 1 toll booth = No. of light-weight vehicles crossing a toll in 1 minute * Toll amount paid by light-weight vehicles + No. of medium-weight vehicles crossing a toll in 1 minute * Toll amount paid by medium-weight vehicles + No. of heavy-weight vehicles crossing a toll in 1 minute * Toll amount paid by heavy-weight vehicles
= 12*40 + 36*80 + 12*120 = 480 + 2880 + 1440 = 4200 + 1800 = Rs 4800
Since, we are doing a rough estimate, lets consider the toll amount gets halved in the night-time as the number of vehicles plying on the road differs during the day time vs night time (just considering 12 hour time windows).
Toll collected in 1 day (24 hours) at 1 toll booth (B) = (4800 * 60 * 12) + (2400 * 60 * 12) = 3456000 + 1728000 = 5184000 or 50,00,000.
Revisiting our main equation:
Total toll collection in a day = No. of toll booths in India (A) * Toll amount collected/booth in a day (B)
= 3400 * 50,00,000 = Rs 1700,00,00,000 or 1700 crore
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