Answer: 2.83 minutes
Explanation:
It is understood that trains are approaching. That is, they have speeds of equal magnitude but opposite. When train A travels x meters northbound, then train B travels the same distance southbound.
Therefore trains approach at a speed of:
[tex]V = 95 +95 = 190\ km / h[/tex]
Then:
[tex]V = \frac{x}{t}\\\\t = \frac{x}{V}[/tex]
Where x is the distance between the trains
[tex]x = 8.5\ km[/tex]
So the time in which both trains meet is:
[tex]t =\frac{8.5\ km}{180\ \frac{km}{h}}\\\\t=0.04722\ hours[/tex]
This is:
[tex]0.04722*\frac{60\ minutes}{1\ hour} = 2.83\ minutes[/tex]
How long will it be before they reach one another ?
2.83 minutes
