Miles per hour is: Distance in Miles / Time in hours
Distance = 1 mile
Time = 10 minutes 12 seconds
12 seconds is = (12 / 60) minutes. Since 60 seconds = 1 minute
= (1/5) minutes
10 minutes 12 seconds = 10 + 1/5 = 51/5 minutes.
To hour: 51/5 Divided by 60. Since 60 minutes = 1 hour
= 51/5 * 1/60 = 51/300 = 17 / 100 hour (Divided through by 3)
Miles per hour = 1 mile / (17/100) hour
= 1 * 100/17 = 5.882 miles per hour.
I hope this helps.