Last year at a track meet, runner A and runner B both ran each of 4 laps in a race in 1.5 minutes. Runner A sets a goal for this year of changing his total time for the race by -0.12 minutes, with equal times for all 4 laps. Runner B sets a goal for this year of changing his time on each lap by -0.025 minutes.(1 point)

Question

Last year at a track meet, runner A and runner B both ran each of 4 laps in a race in 1.5 minutes. Runner A sets a goal for this year of changing his total time for the race by -0.12 minutes, with equal times for all 4 laps. Runner B sets a goal for this year of changing his time on each lap by -0.025 minutes.(1 point)
Use the drop-down menus to complete the statements.

Runner A's goal is to change his TIME on EACH LAP of the race by 
 minutes.

Runner B's goal is to change his TOTAL TIME for the RACE by 
 minute

GPT-4o mini · Answer

To complete the statements: 1. Runner A's total time for the race last year was $1.5 \text{ minutes/lap} \times 4 \text{ laps} = 6 \text{ minutes}$. His goal is to change this total time by -0.12 minutes, so his new total time will be $6 \text{ minutes} - 0.12 \text{ minutes} = 5.88 \text{ minutes}$. Since this total time is for 4 laps, the change in time for each lap is $-0.12 \text{ minutes} / 4 = -0.03 \text{ minutes}$. Thus, runner A's goal is to change his TIME on EACH LAP of the race by **-0.03 minutes**. 2. Runner B's goal is to change his time on each lap by -0.025 minutes. Since he runs 4 laps, the change in total time for the race is $-0.025 \text{ minutes/lap} \times 4 \text{ laps} = -0.1 \text{ minutes}$. Therefore, runner B's goal is to change his TOTAL TIME for the RACE by **-0.1 minute**. So, the completed statements are: Runner A's goal is to change his TIME on EACH LAP of the race by **-0.03 minutes**. Runner B's goal is to change his TOTAL TIME for the RACE by **-0.1 minute**.