Answer:
The two cars will be 225 km apart at 3:30 PM.
Step-by-step explanation:
Step 1: Calculate the combined speed of both cars
The speed at which the distance between the two cars increases is the sum of their individual speeds.
[tex]{\text{Combined Speed} = 70 \, \text{kph} + 80 \, \text{kph} = 150 \, \text{kph}}[/tex]
Step 2: Set up the distance formula
The formula to find the distance when speed and time are known is:
[tex]\text{Distance} = \text{Speed} \times \text{Time}[/tex]
Given:
[tex]\text{Distance} = 225 \, \text{km}[/tex]
[tex]\text{Speed} = 150 \, \text{kph}[/tex]
We need to find the time ( t ):
[tex]225 \, \text{km} = 150 \, \text{kph} \times t[/tex]
Step 3: Solve for time
[tex]t = \frac{225 \, \text{km}}{150 \, \text{kph}}[/tex]
[tex]t = 1.5 \, \text{hours}[/tex]
Step 4: Add the time to the initial time
The cars left at 2:00 PM and will travel for 1.5 hours.
[tex]{2:00 \, \text{PM} + 1.5 \, \text{hours} = 3:30 \, \text{PM}}[/tex]
