The first step is to recognize the relationship between distance x, time t and speed v. Speed is distance divided by time.

miles per hour = mi/hr
v  =  x / t
65 mi/hr  =  x / (1 min)

Then we solve for x

x  =  (65 mi/hr) (1 min)  =  65 mi min/hr

We have units in our expression that did not cancel, so we use the following identity so that we can cancel time units

60 min  =  1 hr
1  =  (60 min) / (1 hr)  =  60 min/hr
x  =  (65 mi min/hr)/(60 min/hr)  =  (65/60) mi  ≈  1.08 mi

In the final step, 65/60 mi is approximately 1.08333 miles, but we have rounded to a precision of one hundredth mile.