| 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 |
A) 72
B) 10
C) 36
D) 40
Correct Answer: C
Solution :
| Let the speed of each train be \[x\,\,km/h,\] |
| Then, relative speed \[=x+x=2x\,\,km/h\] |
| and distance = length of each train |
| \[=120+120=240\,\,m=\frac{240}{1000}km\] |
| \[\therefore \]\[\text{Time}=\frac{\text{Distance}}{\text{Speed}}\]\[\Rightarrow \]\[\frac{12}{3600}=\frac{240}{1000}\times \frac{1}{2x}\] |
| \[\Rightarrow \]\[x=\frac{24\times 36}{24}\]\[\Rightarrow \]\[x=36km/h\] |
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