Question: Two trains are running in opposite direction with the same speed. If the length of each train is 120 m and they cross each other in 12 s, then the speed (in km/h) of each train is
Options:
A) 72
B) 10
C) 36
D) 40
Show Answer
Answer:
Correct Answer: C
Solution:
- Let the speed of each train be $ xkm/h, $
Then, relative speed $ =x+x=2xkm/h $
and distance = length of each train
$ =120+120=240m=\frac{240}{1000}km $
$ \therefore $ $ Time=\frac{Distance}{Speed} $
$ \Rightarrow $ $ \frac{12}{3600}=\frac{240}{1000}\times \frac{1}{2x} $
$ \Rightarrow $ $ x=\frac{24\times 36}{24} $
$ \Rightarrow $ $ x=36km/h $