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Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 sec. What is the length of the fast train?

  • A.23 m
  • B.23 2/9 m
  • C.27 m
  • D.27 7/9 m

Answer: D

Passing a man sitting in the slower train means covering only the fast train's own length, at the difference of the speeds.

\[ \text{relative speed} = 40 - 20 = 20 \text{ km/hr} = 20 \times \frac{5}{18} = \frac{50}{9} \text{ m/s} \]

\[ L = \frac{50}{9} \times 5 = \frac{250}{9} = 27\tfrac{7}{9} \text{ m} \]

The slower train's length never enters, because the reference point is one seated person.

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