The relative speed of the car to the truck while moving towards each other is the sum of the speed of both vehicles.
Reasons:
The distance between the cities, d = 145 miles
The time it takes a truck to cover the distance = 2.5 hours
The speed of the car = 1.5 × Th speed of the truck
Required:
The time it takes them to meet if they are moving towards each other.
Solution:
[tex]\displaystyle Speed \ of \ the \ truck, \ v_{truck} = \frac{145 \ miles}{2.5 \ hours} = \mathbf{58 \ mph}[/tex]
Therefore;
The speed of the car, [tex]v_{car}[/tex] = 1.5 × 58 mph = 87 mph
At the time, t, the truck and the car meet, we have;
[tex]\mathbf{v_{car} \times t + v_{truck} \times t = d}[/tex]
Which gives;
87 × t + 58 × t = 145
[tex]\displaystyle t = \mathbf{\frac{145}{87 + 58}} = 1[/tex]
Learn more about distance, time and speed here:
https://brainly.com/question/17609639
