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Answer:
The distance from Miami to the private location = 480 miles

Solution:

distance = velocity * time
from which time = distance / velocity

suppose d = distance travelled in going trip
note that its the same distance travelld in return trip

going trip:
the time required from Miami to the private location= d/200

return trip:
the time required from private location to Miami = d/300

overall time= d/200 + d/300 = 4
0.005 d + 0.00333 d = 4
0.008333 d = 4
d = 4/0.008333
d= 480 miles

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