How could the year be the same, we must have been in a really fast orbit around the sun.
The speed of rotation and the orbit period are independent. If the days were shorter, there would have been more of them in a year but it would still take the same amount of time to circle the sun.
365 days in a year is just a rough approximation, some years there are 366. If the earth were spinning twice as fast, there would be would be more than 700 days in a year but the year would still the same length of time and you would age one year, not two or 1/2.