Question

HELP PLSSSS

In a race, a red car starts 1 km behind a blue car. The red car is traveling at 55 km per hour, while the blue one
is traveling at 40 km per hour. How long will it take for red car to overtake the blue one?

Answer 1

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

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=(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=(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=(1~Km)/(15~Km/h)`

t = 0.0667 hours.

Computing in minutes:

`\displaystyle t=(1~Km)/(15~Km/h)*60`

t = 4 minutes.

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