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timurjin [86]
4 years ago
7

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 mile

s 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.
Mathematics
1 answer:
shutvik [7]4 years ago
7 0
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
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