We have [tex]1 \; mile = 1609.34\; meters[/tex]. So, [tex]1 \; meter = \frac{1}{1609.34} \;mile[/tex].
[tex]1 \; hour = 3600 \; s[/tex]. So [tex]1 \; s = \frac{1}{3600} \; hour[/tex].
Thus we can convert the units of the given quantity.
That is,
[tex]593\;m/s=593\;\frac{1/1609.34}{1/3600} \;miles/hour\\ 593\;m/s=1,326.51\;miles/hour[/tex].
The quantity is converted to the required units.