The Gospel of Luke, at Luke 24:13-35, records that Jesus appeared to two disciples who were walking from Jerusalem to Emmaus, which is described as being 60 stadia from Jerusalem (10.4 to 12 km depending on what definition of stadium is used), after his resurrection.
Answer: The distance from Buffalo to Washington is 284 miles.
The total driving distance from New York, NY to Washington, DC is 229 miles or 369 kilometers. Your trip begins in New York, New York.