Question Bank • QB_GA_007 NAT • 2 Marks

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Numerical Computation

Question Statement:

A train moving at a uniform speed of $72\text{ km/h}$ completely crosses a stationary platform of length $250\text{ m}$ in $20\text{ seconds}$. The length of the train in metres is ________ (answer in integer).

Answer Key:

150

Step-by-Step Solution & Explanation

1. Speed in $\text{m/s}$: $v = 72 \times \frac{5}{18} = 20\text{ m/s}$ 2. Total distance travelled during crossing: $D = v \times t = 20\text{ m/s} \times 20\text{ s} = 400\text{ m}$ 3. Total distance equals train length ($L_t$) plus platform length ($L_p$): $L_t + 250 = 400 \implies L_t = 400 - 250 = 150\text{ m}$
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