Birmingham Airport Is Actually In Solihull , An Area East Of Birmingham However It Only Takes 10 Minutes By Train and 30 Minutes By Taxi
Trains take 10 - 15 minutes from Birmingham International to Birmingham New Street depending on intermediate stops; 9 trains per hour during the day; longest gap between two trains: 12 minutes
http://www.nationalrail.co.uk/
The train station can be reached by the Air-Rail Link, an automated people mover. The journey from the airport terminal to the railway station takes less than two minutes; trains depart every two minutes.
There is a really good rail link to the city centre from Birmingham International Airport - it takes about 10mins to get to New Street Station, within the airport there are signs to tell you how to get to the station and there is a monorail shuttle link to take you there
A long way from International airport to city centre, you follow the signs for the train station
HAVE A LOOK AT A MAP YOU IDIOT