Quantitative Aptitude Ques 1480

Question: A train 140 m long passes a man, running at 6 km/h in the direction opposite to that of the train in 9 s. The speed of the train is

Options:

A) 50 km/h

B) 45 km/h

C) 42 km/h

D) 40 km/h

Show Answer

Answer:

Correct Answer: A

Solution:

  • Let the speed of the train be x km/h. Then, relative speed $ =(x+6)km/h=\frac{5(x+6)}{18}m/s $ $ Relativespeed=\frac{Lengthoftrain}{Timetakentocrosseachother} $
    $ \Rightarrow $ $ \frac{5(x+6)}{18}=\frac{140}{9} $
    $ \Rightarrow $ $ x+6=\frac{2\times 140}{5} $ $ x=50km/h $
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