Answer:
It will take 2 hours 36 minutes for the two trains to meet.
Step-by-step explanation:
The distance between the two trains is decreasing by [tex]95+115= 210[/tex]miles per hour, which can be written as [tex]\frac{210 miles}{1 hour}[/tex].
So at this rate, the distance between the trains will be reduced to zero in:
[tex]\frac{546 miles}{\frac{210 miles}{1 hour} } = 476 miles * \frac{1 hour}{210 miles}[/tex]
[tex]= \frac{546}{210} = 2.6 hours[/tex]
Changing 2.6 hours to hours and minutes:
[tex]2 hours + 0.6 hours = 2 hours + (0.6 * 60) = 2 hours + 36 minutes[/tex]
Therefore, it will take 2 hours 36 minutes for the two trains to meet.