The given speed is 251 cm/s
We are asked to convert the speed into the units of inches per minute.
The conversion factor between inches and centimeters will be:
1 in = 2.54 cm or [tex]\frac{1 inch}{2.54 cm}[/tex]
The conversion factor between seconds and minutes will be:
1 minute = 60 seconds or [tex]\frac{60s}{1 min}[/tex]
Converting from cm/s to in/min:
[tex]\frac{251cm}{s}*\frac{1in}{2.54cm}*\frac{60s}{1min}=5.93*10^{3}in/min[/tex]
Therefore, the speed of 251 cm/s will be equivalent to [tex]5.93*10^{3}in/min[/tex]