Mutsy- The right to a speedy trial in the United States is important because in some other countries you may have to wait years before you see a trial.
In Iran, for example, there were three American hikers that were arrested for espionage according to the Iranian government and the three were jailed for at least one year.
One of the hikers was released on bond and left the country, and a trial date has been set. The other two sit indefinitely in an Iranian prison with no trial date on the horizon.
Their plight has gotten them some free publicity and hopefully with some international pressure they also will be released on bond soon.