The negative pion $($$)($$)$ is an unstable particle with an average lifetime of $2\mathrm{.}60108$s$2\mathrm{.}60108$s $($measured in the rest frame of the pion$).$ If the pion is made to travel at very high speed relative to a laboratory, its average lifetime is measured in the laboratory to be $4\mathrm{.}20107$s$4\mathrm{.}20107$s$.$ Calculate the speed of the pion expressed as a fraction of c$.$ What distance, measured in the laboratory, does the pion travel during its average lifetime?