To solve these, we need to calculate the change in time for each runner.

Runner A's Goal:

• Runner A's total goal is to change the total race time by -0.12 minutes.

• Since there are 4 laps, the time change per lap will be:

  $\text{Change per lap} = \frac{-0.12 \text{ minutes}}{4} = -0.03 \text{ minutes per lap}$

Runner B's Goal:

• Runner B's goal is to change the time on each lap by -0.025 minutes.

• Since there are 4 laps, the total change for the race is:

  $\text{Total change} = -0.025 \text{ minutes per lap} \times 4 = -0.1 \text{ minutes}$

Final answers:

1. Runner A's goal is to change his time on each lap by $-0.03$ minutes.
2. Runner B's goal is to change his total race time by $-0.1$ minutes.

Do you want more details or have any questions?

Here are 5 related questions:

1. What would be Runner A's new total race time after achieving the goal?
2. How much would each lap of Runner A change in percentage terms?
3. If Runner B had set a larger goal, say $-0.04$ minutes per lap, how would that affect the total time?
4. How long would each runner take for one lap after achieving their goals?
5. How much faster would Runner A's lap time be compared to Runner B's after both achieve their goals?

Tip: For multi-step problems, always divide changes over each part of the total if the question involves multiple laps, segments, or parts!