Question

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.

Answer 1

For this case, 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