A vertical summit curve on a freight corridor is formed at the intersection of two gradients, +3.0% and −5.0%.

Assume the following:
- Only large-sized trucks are allowed on this corridor
- Design speed = 80 kmph
- Eye height of truck drivers above the road surface = 2.30 m
- Height of object above the road surface for which trucks need to stop = 0.35 m
- Total reaction time of the truck drivers = 2.0 s
- Coefficient of longitudinal friction of the road = 0.36
- Stopping sight distance gets compensated on the gradient

The design length of the summit curve (in meters) to accommodate the stopping sight distance is _____ (rounded off to 2 decimal places).

The free mean speed is 60 km/hr on a given road. The average space headway at jam density on this road is 8 m. For a linear speed-density relationship, the maximum flow (in veh/hr/lane) expected on the road is

The number of trains and their corresponding speeds for a curved Broad Gauge section with 437 m radius, are

• 20 trains travel at a speed of 40 km/hr
• 15 trains travel at a speed of 50 km/hr
• 12 trains travel at a speed of 60 km/hr
• 8 trains travel at a speed of 70 km/hr
• 3 trains travel at a speed of 80 km/hr

If the gauge (center-to-center distance between the rail heads) is taken as 1750 mm, the required equilibrium cant (in mm) will be _______ (rounded off to the nearest integer).

The figure presents the trajectories of six vehicles within a time-space domain. The number in the parentheses represents a unique identification of each vehicle.


The mean speed (in km/hr) of the vehicles in the entire time-space domain is ____________ (rounded off to the nearest integer).