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).

A bird is resting on a point P at a height of 8 m above the Mean Sea Level (MSL). Upon hearing a loud noise, the bird flies parallel to the ground surface and reaches a point Q which is located at a height of 3 m above MSL. The ground surface has a falling gradient of 1 in 2. Ignoring the effects of curvature and refraction, the horizontal distance (in meters) between points P and Q is _______________ (in integer).