Which disciple arrived at the empty tomb first, Peter or John?
John arrived at the empty tomb first. According to John's Gospel, chapter 20, Peter and John ran together, but the other disciple, John, outran Peter and came first to the sepulcher. He was quicker afoot than Peter, though he was more timid.
Les explains from John 20 that on resurrection morning Mary Magdalene found the body gone and ran to tell Peter and John. The two disciples ran together to the sepulcher, but John outran Peter and reached the tomb first. Les notes John was quicker afoot than Peter, yet more timid.
John 20:4
So they ran both together: and the other disciple did outrun Peter, and came first to the sepulchre.