A train traveling at 30 km/h takes 13.5 seconds to pass a fixed point. What is the length of the train (in meters)?

Introduction / Context:Passing a fixed point equals train length traveled in the given time. Convert speed to m/s to multiply by seconds and get length in meters.

Given Data / Assumptions:

• v = 30 km/h.
• t = 13.5 s.

Concept / Approach:30 km/h = 8.333... m/s. Length L = v * t in consistent units.

Step-by-Step Solution:L = 8.333... * 13.5 = 112.5 m.

Verification / Alternative check:At 8.333... m/s, 112.5 m takes 13.5 s, matching the given time.

Why Other Options Are Wrong:112 m or 113 m are rounding approximations and not exact; “None of these” is incorrect because 112.5 m is a precise match.

Common Pitfalls:Using km/h directly with seconds without converting to m/s.

Final Answer:112.5 metres