Final Answer:
There are 37 water stations in all. None of the given options is answer.
Step-by-step explanation:
The total distance of the road race is 512 miles. After the starting point, there are water stations every 14 miles. To determine the number of water stations, we can divide the total distance by the distance between stations and add 1 to account for the water station at the finish line.
number_of_stations = total_distance // distance_between_stations + 1
Substituting the given values, we get:
number_of_stations = 512 miles / 14 miles/station + 1 = 37 stations
Therefore, there are 37 water stations in all. None of the given options is answer.