“Joseph took the body, wrapped it in a clean linen cloth, and placed it in his own new tomb that he had cut out of the rock. He rolled a big stone in front of the entrance to the tomb and went away. Mary Magdalene and the other Mary were sitting there opposite the tomb.” ~~Matthew 27:59-61

We know that three days later, the women went back to the tomb to complete the body's preparation for burial, found that the body was gone, and then had a conversation with an angel. "Don't be alarmed," he said.  "You are looking for Jesus the Nazarene, who was crucified.  He has risen!  He is not here.  See the place where they laid him. But go, tell his disciples and Peter, 'He is going ahead of you into Galilee.  There you will see him, just as he told you.'" ~~Mark 16: 6-7

From what we can piece together from Scripture, what happened next was this:  the women seemed to separate, with Mary Magdalene heading out to alert Peter and John and the other women being met by Jesus along the way. "Do not be afraid," He told them. "Go and tell my brothers to go to Galilee; there they will see me." (See Matthew 28:9) 

Having received the news from Mary Magdalene, John and Peter took off in a race to the finish line. Though John arrived at the tomb first, he didn't go in, but stopped and peered inside. Our Impetuous Pete, however, plowed right in and was then joined by John. (See John 20:3-9)

Mary Magdalene could not have seen Jesus with the other women because, distraught, she stayed at the tomb after Peter and John left and wept (Gk. "klaio," which mean: mourn, lament, wailing in pain and grief). Jesus then appeared to her, but she mistook Him for the gardener. She asked Him if He had any idea as to where the body of her Lord might be, and if so, to please tell her and she would go get the body and she would take care of it.