Final answer:
The two trains traveling towards each other from a distance of 195 miles apart at speeds of 25 and 40 miles per hour will meet in 3 hours.
Step-by-step explanation:
To determine when two trains traveling towards each other will meet, you can use the concept of relative speed. Since both trains are moving towards each other, their speeds add up when calculating the relative speed. In this case, one train travels at 25 miles per hour and the other at 40 miles per hour.
The relative speed is therefore 25 + 40 = 65 miles per hour. The distance between them is 195 miles, and we want to find the time it takes for this distance to be covered at their relative speed.
You can find this time by dividing the distance by the relative speed:
Time = Distance / Relative Speed
Time = 195 miles / 65 miles per hour
Time = 3 hours
So, the two trains will meet after 3 hours of travel.