Question 257131
a truck eneters the highway at 60mph. a car enters the highway 9 min. later at 65mph. How long until the car will pass the truck?

Let T be the time when the car passes the truck.

Using the fact that distance = rate * time we have:

The disatance traveled by the truck in the 9 minutes or 9/60 hours before the car starts is :

60*9/60 = 9 miles.

The car must travel the 9 miles plus the additional distance the truck travels after the car starts before they meet:

The distance truck travels before they meet is 9 + 60*T. In that same time T the car will travel 65*T Miles.

They meet when:

9 + 60*T = 65*T

Solve for T .