Quantitative Aptitude Ques 419
Question: A 320 m long train moving with an average speed of 120 km/h crosses a platforms 24 s. A man crosses the same platform in 4 min. What is the speed (in m/s) of man? [BOB (PO) 2011]
Options:
A) 2.4
B) 1.6
C) 2.2
D) 1.5
E) None of these
Show Answer
Answer:
Correct Answer: E
Solution:
- Speed of train = 120 km/h
$ =\frac{120\times 5}{18}=\frac{100}{3}m/s $
Let the length of the platform be x m.
Then, $ \frac{x+320}{\frac{100}{3}}=24 $
$ \Rightarrow $ $ 3,(x+320)=2400 $
$ \Rightarrow $ $ 3x+960=2400 $
$ \Rightarrow , $ $ 3x=1440 $
$ \Rightarrow $ $ x=\frac{1440}{3}=480,m $ Hence, speed of man $ =\frac{480}{4\times 60}m/s=2,m/s $
BETA
