It doesn't make sense
Statement: .... at a speed of 35 miles .....
Does it make sense?
In motion, speed is measured in km/h, m/s, miles per hour (depending on context) while distance is measured in km, m or miles.
However, the given statement mention the unit of speed to be miles which is incorrect.
Hence, we can conclude that the statement does not make sense.
A correct statement would be: <em>I drove at a speed of 35 miles per hour .......</em>