SATHEE: Quantitative Aptitude Ques 2224

Quantitative Aptitude Ques 2224

Question: A train travelling at 48 km/h completely crosses an another train having half-length of first train and travelling in opposite directions at 42 km/h in 12 s. It also passes a railway platform in 45 s. The length of the platform is

Options:

A) 400 m

B) 450 m

C) 560 m

D) 600 m

Show Answer

Answer:

Correct Answer: A

Solution:

Let the length of the first train be am. Then, the length of second train is $ ( \frac{x}{2} )m. $

$ \therefore $ Relative speed $ =(48+42)km/h $ $ =( 90\times \frac{5}{18} )=25,m/s $ According to the question, $ \frac{( x+\frac{x}{2} )}{25}=12 $
$ \Rightarrow $ $ \frac{3x}{2}=300 $

$ \Rightarrow $ $ x=200m $

$ \therefore $ Length of first train $ =200m $ Let the length of platform be y m. Speed of the first train $ =( 48\times \frac{5}{18} )m/s=\frac{40}{3}m/s $ $ Time=\frac{Distance}{Speed} $

$ \therefore $ $ (200+y)\times \frac{3}{40}=45 $
$ \Rightarrow $ $ 600+3y=1800 $

$ \therefore $ $ y=400m $

Quantitative Aptitude Ques 2223

Quantitative Aptitude Ques 2225

Quantitative Aptitude Ques 2224

Question: A train travelling at 48 km/h completely crosses an another train having half-length of first train and travelling in opposite directions at 42 km/h in 12 s. It also passes a railway platform in 45 s. The length of the platform is

Options:

Answer:

Solution:

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