South Africa will open the continent's first high-speed rail link on Tuesday, just in time to whisk a mass influx of World Cup fans from the country's main airport into uptown Johannesburg. The three billion dollar Gautrain project has been dogged by a series of problems since work began in September 2006, but authorities in Gauteng province say it will help transform the lives of traffic-frazzled commuters and draw in long-term investment.