Nicole left home and traveled toward the recycling plant. Two hours later Kristin left traveling at 50 km/h in an effort to catch up to Nicole. After traveling for three hours Kristin finally caught up. What was Nicole's average speed?

Respuesta :

Answer:

Nicole's average speed is [tex]30\ km/h[/tex].

Step-by-step explanation:

Given,

Speed of Kristen = [tex]50\ km/h[/tex]

Time taken by Kristen to cover the distance = [tex]3\ h[/tex]

Solution,

We can find out the distance traveled by Kristen by multiplying speed with time.

[tex]Distance = Speed\times Time[/tex]

[tex]Distance =50\ km/h\times 3\ h=150\ km[/tex]

The distance traveled by Kristen is equal to distance traveled by Nicole.

As the question said Kristen left 2 hours later and cover the distance in 3 hours.

That means Nicole take 5 hours to cover the distance.

So, For Nicole;

Distance = 150 km

Time = 5 hrs

Here we use the formula of speed.

[tex]Speed = \frac{Distance}{time}[/tex]

Now substituting the values, we get;

[tex]Speed = \frac{150\ km}{5\ h}=30\ km/h[/tex]

Hence Nicole's average speed is [tex]30\ km/h[/tex].