Question

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Answer 1

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.

$\displaystyle v=\frac{d}{t}$

If the speed is known, we can solve the equation for d:

d = v.t

Similarly, the time is calculated as:

$\displaystyle t=\frac{d}{v}$

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:

$\displaystyle t=\frac{1~Km}{15~Km/h}$

t = 0.0667 hours.

Computing in minutes:

$\displaystyle t=\frac{1~Km}{15~Km/h}*60$

t = 4 minutes.

The red car will need 4 minutes to overtake the blue car.