It depends on your average speed.
If the roads permit an average speed of 60mph, it would take you 5 hours.
To work it out (using T=D/S):
Time (hours) = 300 miles divided by average speed (mph)
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At 5mph, 10 hours a day. It would take 6 days.
5 hours.
3.72 seconds.
300 miles?
100/300 = 1/3 hour = 20 minutes