Answer:
Both trains will meet at 2.2 hours (2 hours and 12 minutes).
Step-by-step explanation:
Relative Speed
If two moving objects are traveling through the same line and have speeds v1 and v2 respectively, their relative speed is vr = v1-v2.
Both trains travel toward each other, which means their speeds are of opposite signs.
Let's assume the first train has a positive speed of 65 mph, and the second train has a negative speed of -85 mph. Then, the relative speed is vr = 65 + 85 = 150 mph.
To calculate the time they take to meet, we apply the formula:
[tex]\displaystyle t=\frac{x}{vr}[/tex]
[tex]\displaystyle t=\frac{330}{150}=2.2\ hours[/tex]
Both trains will meet at 2.2 hours (2 hours and 12 minutes).
