Difficulty: Easy
Correct Answer: 66 km/h
Explanation:
Introduction / Context:
Passing a post uses only train length. Speed equals length divided by time (in m/s), converted to km/h by multiplying by 3.6.
Given Data / Assumptions:
Concept / Approach:
v_mps = 220/12 = 55/3 ≈ 18.3333 m/s. Convert to km/h: v_kmph = v_mps * 3.6.
Step-by-Step Solution:
Verification / Alternative check:
Reverse check: 66 km/h = 18.3333 m/s; in 12 s distance = ~220 m—consistent.
Why Other Options Are Wrong:
54, 60, 69, 72 km/h are off the exact conversion.
Common Pitfalls:
Using 18/5 instead of 5/18 or vice versa incorrectly; rounding too early.
Final Answer:
66 km/h
Discussion & Comments