SATHEE: Quantitative Aptitude Ques 790

Quantitative Aptitude Ques 790

Question: A 180 m long train crosses another 270 m long train running in the opposite direction in 10.8 s. If the speed of the first train is 60 km/h then what is the speed (in km/h) of the second train?

Options:

A) 80

B) 90

C) 150

D) Cannot be determined

E) None of the above

Show Answer

Answer:

Correct Answer: B

Solution:

Time taken by trains in, crossing each other $ \text{=}\frac{Sumoflengthsoftrains}{Relativespeed} $ Also, $ 60km/h=\frac{60\times 5}{18}=\frac{50}{3}m/s $ If the speed of second train be x m/s, then $ 10.8=\frac{180+270}{\frac{50}{3}+x} $

$ \Rightarrow $ $ 10.8( \frac{50}{3}+x )=450 $

$ \Rightarrow $ $ 180+10.8x=450 $

$ \Rightarrow $ $ 10.8x=450-180=270 $

$ \Rightarrow $ $ x=\frac{270}{10.8}=25m/s $ $ =25\times \frac{18}{5}km/h=90km/h $

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