The circumference of the earth at the equator is 24,902 miles (40,075km)
To move at the same speed as the rotation of the earth you would have to move at 1038mph (1670kph)
This assumes that you are moving along the ground and there is nothing in your way.
A better measure would be to calculate this at the crusing height of a jet aircraft. For Concorde flying at 60,000 feet you would have to be traveling slightly faster at 1039mph which was possible as Concorde was able to fly at 1,350mph (mach 2.04)
Just a shame that it is unlikey that there will ever be such an aircraft made again