### Home > APCALC > Chapter 1 > Lesson 1.2.3 > Problem1-55

1-55.

A marathon runner runs a 26.2-mile race. Her distance traveled in miles after t hours is p(t) = 7t. Homework Help ✎

1. How long does it take her to finish the race?

26.2 = p(t)
Solve for t.

2. What is her average velocity? Explain your reasoning.

$\text{average velocity }= \frac{\Delta \text{ distance}}{\Delta \text{time}}$

Evaluate and explain.

3. Suppose she runs at a constant pace of 7 miles/hour. How far will she have gone in 2 hours?

$\text{velocity }= \frac{\text{ distance}}{ \text{time}}$

Evaluate.

4. Show how the units in your answer to part (c) reduce using (rate)(time) = distance.

(rate)(time)= (miles/hour) (hours) = _________