Quantitative Aptitude Ques 57
Question: A train running at speed 54 km/h crosses a passenger standing on a platform of length 200 m in 10 s. Length of train is [FCI (Assistant) 2015]
Options:
A) 140 m
B) 154 m
C) 145 m
D) 150 m
Show Answer
Answer:
Correct Answer: D
Solution:
- Let length of train be x m.
$ \therefore $ Time taken by train to cross the passenger $ =\frac{Length,of,train}{Speed,of,train} $
$ \Rightarrow $ $ 10\text{=}\frac{x}{54\times \frac{5}{18}} $
$ \Rightarrow $ $ 10=\frac{x\times 18}{54\times 5} $
$ \Rightarrow $ $ x=\frac{10\times 54\times 5}{18} $
$ \Rightarrow $ $ x=3\times 50 $
$ \therefore $ $ x=150,m $ So, length of train = 150 m Here, train crosses a passenger, so length of platform will not be added in the length of train.
BETA
