Check your tires inside shoulder for wear
A tire's inside shoulder wear is very difficult to see, which can develop into a dangerous situation if it goes flat traveling at high speeds.
Always check the inside as well as the outside shoulders of your tires when you check the pressures. This particular tire-wear was due to an alignment problem.
A brand new tire can wear down to be useless and dangerous in as little as one hundred miles. Always perform an alignment when you get new tires or at least every six months. This can actually save your life...performing an alignment also requires checking the integrity of front end and steering components, which may go undetected by the driver.