Let

v = 50 mph the average rate

t = 12 min = 12/60 hr = 0.2 hr the time of the travel

d = the distance traveled

Since v = d/t follows d = v*t.

We plug the values for v and t into d = v*t to find the distance:

d = 50*0.2

d = 10 mi

The distance the car will travel in 12 minutes is 10 miles.