The best analysis of how the Maya lived during the time of the Olmec is: The Maya came many centuries after the Olmec.
The Olmec civilization is considered one of the earliest complex societies in Mesoamerica, flourishing around 1200 to 400 BCE, while the Maya civilization began to develop significantly later, around 2000 BCE, but their more prominent classic period was from about 250 to 900 CE. Thus, the Maya did not coexist with the Olmec but rather developed after them.