Answer:
The speed of the Snuggles is 480 kilometers per hour.
Step-by-step explanation:
The speed of the train ([tex]v[/tex]), in meters per second, is the sum of the length of the tunnel ([tex]L[/tex]), in meters, plus the length of the train ([tex]l[/tex]), in meters, divided by time taken by vehicle to cross the tunnel completely ([tex]t[/tex]), in seconds:
[tex]v = \frac{l+L}{t}[/tex] (1)
If we know that [tex]l = 1000\,m[/tex], [tex]L = 3000\,m[/tex] and [tex]t = 30\,s[/tex], then the speed of the train is:
[tex]v = \frac{l+L}{t}[/tex]
[tex]v = \frac{1000\,m + 3000\,m}{30\,s}[/tex]
[tex]v = 133.333\,\frac{m}{s}[/tex]
A kilometer per hour equals 3.6 meters per second. By unit conversion, we conclude that speed of the train is:
[tex]v = 479.998\,\frac{km}{h}[/tex]
The speed of the Snuggles is 480 kilometers per hour.
