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A 200m long train crosses a platform of certain length in 15 seconds. Speed of the train is 90 km/hr. Then the length of the platform is

  • A.300m
  • B.225m
  • C.150m
  • D.175m

Answer: D

The platform is 175m long.

To cross a platform, the train must cover its own length plus the platform's. Convert the speed to metres per second first:

\[ \begin{aligned} 90\ \text{km/h} &= 90 \times \frac{5}{18} = 25\ \text{m/s} \\ \text{distance} &= 25 \times 15 = 375\ \text{m} \\ \text{platform} &= 375 - 200 = 175\ \text{m} \end{aligned} \]

375 m is the total distance, which forgets to subtract the train's length; 225 m and 150 m do not follow from the data.

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