Problems on Trains – Platform-crossing time from pole time: A 360 m long train takes 36 seconds to cross a telegraph pole. How long will it take to cross a 600 m long platform?

Introduction / Context:
The time to cross a pole gives the speed because the train covers only its own length. Once the speed is known, platform-crossing time follows by using total distance = train length + platform length.

Given Data / Assumptions:

• L_train = 360 m.
• Time to pass pole = 36 s.
• L_platform = 600 m.

Concept / Approach:
First find speed v = L_train / t_pole in m/s. Then compute total distance through the platform D = L_train + L_platform, and time t = D / v.

Step-by-Step Solution:
Speed v = 360 / 36 = 10 m/s.Total distance = 360 + 600 = 960 m.Time = 960 / 10 = 96 s.

Verification / Alternative check:
If the platform were 600 m and speed 10 m/s, every second adds 10 m; 96 s accounts exactly for 960 m.

Why Other Options Are Wrong:
60, 66, 50, 80 s do not match D/v with v fixed by the pole-crossing time.

Common Pitfalls:
Using only platform length instead of train + platform; misreading the pole time as the platform time.

Final Answer:
96 sec