Denise and Jacqueline are training for a swimming and running race.

• Jacqueline swims for 30 minutes. Then she runs 3.2 miles at a constant

pace. Her total training time is 54 minutes. • Denise swims for 24 minutes.

She runs at a constant pace of 8 minutes per mile. Her goal is to train for at

least 60 minutes. *

Part A: Write an equation or inequality to represent the pace, in minutes per mile, that Jacqueline

runs. Define all variables used. At what pace, in minutes per mile, does Jacqueline run? Show your

work. Respond in the space provided.

Jacqueline runs at 6.25 minutes per mile

Step-by-step explanation:

Here we have that the total training time for Jacqueline = 54 minutes

The time for which Jacqueline swims = 30 minutes

Therefore, the time in which Jacqueline runs = 54 min. - 30 min. = 20 minutes

Therefore the equation for Jacqueline's speed = Distance/Time we have

Jacqueline's pace = 3.2 miles/20 minutes = 0.16 miles/minute

Therefore Jacqueline's pace = 0.16 miles/minute

The equation for Jacqueline's pace in miles/minute is presented as follows

Jacqueline's pace in miles/minute = Time of running/Distance

Jacqueline's pace in miles/minute = 1/0.16 miles/minute = 6.25 minutes/mile.