Allied & ICAR Exam Bank • ALLIED_2152 NAT • 2 Marks

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Numerical Computation

Question Statement:

Two trains moving in the same direction at 90 km/h and 54 km/h take 45 seconds to cross each other completely. If the faster train is 275 m long, the length of the slower train in meters is:

Answer Key:

175

Step-by-Step Solution & Explanation

Relative speed = $90 - 54 = 36$ km/h = $36 \times 5/18 = 10$ m/s. Distance = $10 \times 45 = 450$ m. $L_1 + L_2 = 450 \implies 275 + L_2 = 450 \implies L_2 = 175$ m.
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