To determine the time \( t \) it takes for the two cars to pass each other, we can use the relationship between distance, speed, and time.
The distances traveled by the two cars when they meet will add up to the total distance between them, which is 150 miles.
For the first car traveling at 60 miles per hour for \( t \) hours, the distance it travels is \( 60t \) miles. For the second car traveling at 55 miles per hour for \( t \) hours, the distance it travels is \( 55t \) miles.
When they pass each other, the sum of the distances traveled by both cars will equal 150 miles. This gives us the equation:
\[ 60t + 55t = 150 \]
So, the correct equation to determine \( t \) is:
\[ 60t + 55t = 150 \]
This can be simplified to:
\[ 115t = 150 \]
And then you can solve for \( t \).