Answer:
The red car will need 4 minutes to overtake the blue car.
Step-by-step explanation:
Constant Speed Motion
When an object travels equal distances in equal times, it's said to have a constant speed.
The speed is the ratio between the distance d and time t.
[tex]\displaystyle v=\frac{d}{t}[/tex]
If the speed is known, we can solve the equation for d:
d = v.t
Similarly, the time is calculated as:
[tex]\displaystyle t=\frac{d}{v}[/tex]
In the race, the red car starts 1 Km behind a blue car. The red car travels at 55 Km/h and the blue car travels at 40 Km/h. Since the red car moves faster, it will eventually overtake the blue car.
The difference in speeds between both cars is 55 - 40 = 15 Km/h.
That relative speed makes both cars to get closer until the head start is overtaken. Thus, the time needed for both cars to meet is:
[tex]\displaystyle t=\frac{1~Km}{15~Km/h}[/tex]
t = 0.0667 hours.
Computing in minutes:
[tex]\displaystyle t=\frac{1~Km}{15~Km/h}*60[/tex]
t = 4 minutes.
The red car will need 4 minutes to overtake the blue car.
