DeAngelo is training for a half marathon. Today he is running 13.25 miles. He jogs for the first half hour at a rate of 5.5 miles per hour, then increases his pace to p miles per hour for 1.5 hours. Write an equation representing this situation, and complete the statement that follows.

__+__ p = ___

DeAngelo's rate for the last 1.5 hours of his run is ___ miles per hour.

The first thing we must know is the following definition:

d = v * t

Where,

d: distance

v: speed

t: time

Therefore, the total distance traveled in this case is:

(5.5) * (0.5) + (1.5) * p = 13.25

Rewriting:

2.75 + 1.5p = 13.25

Clearing the value of p we have:

p = (13.25-2.75) / (1.5)

p = 7

Answer:

an equation representing this situation is:

2.75 + 1.5p = 13.25

DeAngelo's rate for the last 1.5 hours of his run is 7 miles per hour