Question

Braydon is at the 10-mile Marker at the park to run. He can run at a pace of 3 miles per hour. Lauren is at the 12-mile marker at the park.
She is walking at a pace of 1.5 miles per hour. How long will it take for Braydon and Lauren to get to the same mile marker on the path in the park ?


I need that word problem turned into a equation

Answer 1

it will take 1.33 hours for Braydon and Lauren to  get to the same mile marker on the path in the  park .

Step-by-step explanation:

Here we have , Braydon can run at 3 miles per hour , he's initially at 10 mile marker . Lauren is at the 12-mile marker at the park, She is walking at a pace of 1.5 miles per hour. We need to find How long will it take for Braydon and Lauren to  get to the same mile marker on the path in the  park .Let's find out:

Let after time t they meet each other so ,  Braydon can run at 3 miles per hour , he's initially at 10 mile marker . Distance traveled is given by :

⇒ $3t+10$

Now , Lauren is at the 12-mile marker at the park, She is walking at a pace of 1.5 miles per hour , Distance traveled is given by :

⇒ $1.5t + 12$

Equating both we get :

⇒ $3t+10=1.5t+12$

⇒ $1.5t=2$

⇒ $t=\frac{2}{1.5}$

⇒ $t=1.33$

Therefore , it will take 1.33 hours for Braydon and Lauren to  get to the same mile marker on the path in the  park .