Final answer:
Lamar's cart moved 48 meters while his daughter was walking beside it.
Step-by-step explanation:
To calculate the distance Lamar's cart moved while his daughter was walking beside it, we first need to find the total distance the cart traveled. Lamar pushed the cart for 72 seconds at a speed of 2 meters per second, so the total distance is 72 seconds multiplied by 2 meters per second, which equals 144 meters.
His daughter walked for one-third of that time, which is 72 seconds divided by 3, giving us 24 seconds. To find the distance the cart moved while his daughter was walking beside it, we multiply the daughter's walking time by the cart's speed, which is 24 seconds multiplied by 2 meters per second. This gives us 48 meters.