That is my best estimate so far. If the flood was (often dated at about) 4500 years ago, then Peleg would have been born probably a little over a century after that. In his days the earth was split.
Now a quick google found this..it may not be a reliable site, but I could find others if it was an issue. The basic idea many creationists have is that maybe the continents moved in Peleg's day..
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It was in the time after the flood
The time is about 2200 BC.
A century and a half after the flood Abraham has not yet been born, but Noah and his sons are still alive[3].
The signs of the great catastrophe that has been brought to the earth by God are still very real. Everybody knows exactly what happened and why it happened, because Noah and his sons are there to tell them everything. It however seems as if the new generations of people that started to inhabit the world after the catastrophe of the flood have not learnt from the past. They do not humble themselves before the God of Noah.
Nimrod is a powerful leader, the first on earth to be a mighty man who starts a great and successful kingdom (Gen 10:8-12), and whose followers multiply and settle in cities. Successful social systems are established in these cities. Enough food is produced and logistical systems are in place for cities and the citizenry to function optimally. The heavenly bodies, the paths of the sun and the moon are studied. Engineers find ingenious ways to erect huge buildings and statues. Truly a mighty civilization of great splendour!
However, they forgot God, their Creator. Once before, during the time of the Great Flood of Noah, God had bemoaned the fact that He had created man. It was grief to the Lord ever having made man on the earth: He felt grieved at heart. (Gen 6:6). Here the same apostasy is on the verge of happening again.
The sons of men (Gen 11:5) embarked upon an enormous project, to build a city and a tower with its top in the heavens. Their thinking was, to make a name for ourselves and to reach heaven which was the dwelling of God, thus becoming famous and to prevent being scattered across the world. Again mankind was not cognizant of Gods will and rather acquiesced to Satans megalomania.
God intervened.
Strange things began to happen
Through Gods intervention chaos ensued. It was a strange and terrifying experience to realize that they were unable to communicate with each other as in the past. The common language they had shared in the past had disappeared[4]. This had grave consequences. Unable to communicate, they were therefore unable to finish the tower and to uphold the systems that were so important for their city life. Social systems started to disintegrate. They started to quarrel among themselves. Many people left the cities that they had built with so much passion and moved with their families and friends to new places in total disarray.
They were stunned to realize that they were unable to control the world that they thought they owned. It was humiliating to realize that they were not so bright and unconquerable as they had thought themselves to be. Yet they did not humble themselves before their Creator. Instead they kept on worshipping the creation.
Then things became even worse.
Earthquakes shook the world. Mankind became really afraid when rumors of great ruptures in the earth became known. The situation had become so bad that certain well-known areas simply disappeared. Great lakes which seemed to become bigger and bigger, appeared in the vicinity of these mysterious ruptures. Within weeks lakes had become oceans that separated them from friends and family.
They did not understand what was happening to them.
In fact, God was dividing and moving great land masses, including plants, animals and people to new destinies. These landmasses were drifting like huge boats on the melted lava below them. Gods almighty hand was pushing them thousands of kilometers in all directions across the globe.
Within a relatively short period of time the face of the globe had been changed completely. In the years to come people would speak of continents which had been separated from one another by oceans of water.
As I sit here in my study, I stare in amazement at the globe on my desk. Once again I am filled with wonderment at Gods hand which is so clearly visible in the beautiful and dramatic division of the land masses and the true greatness of it all.
Humankind is disrupted.
These developments on earth in the days of Peleg had severe implications for many people.
Many of them found themselves imprisoned on islands in the sea, with the roaring waves of the ocean that prohibited them and their descendants forever to find their way back to the world they had previously known and loved. Others experienced dramatic climate changes. They were engulfed by cold winds and snow. Many died and only the young and the strongest managed to survive. Others were overcome by droughts. The world around them changed into a desert.
In many areas people lost hope. They became a degenerated people, far from the glory of their ancestors. They lost their motivation to build proper houses and instead took refuge in temporary huts and even in caves. They did not bother to make proper clothes for themselves as in the past. Their aim was just to survive, which they accomplished by foraging for plants and hunting wild animals. The technique and the will to plough, to plant, to care, to cultivate and to civilize had been lost.
Many groups aimlessly moved in and around the buildings, the temples and the statues that their energetic forefathers had erected in previous, prosperous times. Inexplicably the new generation had lost the motivation to keep up the legacy of their past in just a few years.
The dividing of the continents in the days of Peleg according to Genesis 10:25
Or, you could go with the reconstructed history of the populating of the world you can find here: JOURNEY OF MANKIND - The Peopling of the World
The latter version has the benefit of being in accord with the evidence.
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