Quantitative Aptitude Ques 777

Question: A train speeds past a pole in 20 s and speeds past a platform 100 m in length in 30 s. What is the length of the train? [RRB (SO) 2010]

Options:

A) 100 m

B) 150 m

C) 180 m

D) 200 m

E) None of these

Show Answer

Answer:

Correct Answer: D

Solution:

  • Let the length of train be x m.

$ \therefore $ Speed of train $ =\frac{x}{20}=\frac{x+100}{30} $

$ \Rightarrow $ $ 3x=2x+200 $

$ \Rightarrow $ $ x=200 $