A 300 metre long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds...

A 300 metre long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?

Answer/Solution

350

Steps/Work

Speed = 300/18 m/sec = 50/3 m/sec
(x+300/39) = 50/3
x=350 m
ANSWER D

Physics Calculator / Auto Solver

A metre long train crosses a platform in seconds while it crosses a signal pole in seconds. What is the length of the platform?

Calculated Answer

350

Step by Step Solution

In order to solve problem, you must evaluate (n₁ * n₀ / (n₂ / 3) - n₀ * 3) / 3.

n₀ =	300
n₁ =	39
n₂ =	18

(n₁ * n₀ / (n₂ / 3) - n₀ * 3) / 3
Evaluate n₂ / 3 = 6
(n₁ * n₀ / 6 - n₀ * 3) / 3
Evaluate n₀ / 6 = 50
(n₁ * 50 - n₀ * 3) / 3
Evaluate n₁ * 50 = 1950
(1950 - n₀ * 3) / 3
Evaluate n₀ * 3 = 900
(1950 - 900) / 3
Evaluate 1950 - 900 = 1050
1050 / 3
Evaluate 1050 / 3 = 350
350
The answer to the problem and the result of (n₁ * n₀ / (n₂ / 3) - n₀ * 3) / 3 is 350