Quantitative Aptitude Ques 622

Question: A train 240 m long crosses a man walking along the line in opposite direction at the rate of 3 km/h in 10 s. The speed of the train is

Options:

A) 63 m/s

B) 75 m/s

C) 83.4 m/s

D) 86.4 m/s

Show Answer

Answer:

Correct Answer: C

Solution:

  • Let speed of train be x m/s. Then, $ (x+3)\times \frac{5}{18}=\frac{240}{10} $

$ \Rightarrow $ $ x+3=\frac{24\times 18}{5}=86.4 $

$ \Rightarrow $ $ x=86.4-3 $
$ \Rightarrow $ $ x=83.4,m/s $