Calculate the theoretical capacity (C) of a traffic lane with one-way traffic flow for the given data.

1. Traffic flow at a stream speed = 40 km/h

2. Average center to center spacing of vehicles = 12.8 m

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SSC JE CE Previous Year Paper 10 (Held on 30 Oct 2020 Evening)
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  1. 312.5 vehicle/hour/lane
  2. 3125 vehicle/hour/lane
  3. 3.125 vehicle/hour/lane
  4. 31.25 vehicle/hour/lane

Answer (Detailed Solution Below)

Option 2 : 3125 vehicle/hour/lane
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Detailed Solution

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Concept:

Theoretical maximum capacity:

The maximum volume that can be possible on the road in the most ideal condition is called theoretical maximum capacity. It occurs with no jam, no congestion, and no delay condition.  It can be denoted by C. 

Theoretical maximum capacity, \({\bf{C}} = \frac{{1000{\bf\ {v}}}}{{\bf{S}}}\)

Where, v = Traffic flow speed(km/h)

S = Center to center spacing of vehicles(m)

C = Theoretical maximum capacity(vehicle/hour/lane)

Calculation:

Given, v = 40 km/h and S = 12.8 m

Theoretical maximum capacity, \({\bf{C}} = \frac{{1000{\bf\ {v}}}}{{\bf{S}}}\)

\({\bf{C}} = \frac{{1000 \times 40}}{{12.8}}\)

C = 3125 vehicle/hour/lane

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