I'm trying to find out how long it would take to travel by car from each of the Lower Layer Super Output Areas (LSOA) in Norfolk, England to the nearest Hospital (or just what the distance is and I can estimate drive time, if the former is too difficult/impossible!).
Any suggestions how I can do that using QGIS, OSM road data and/or Ordnance Survey Meridian 2 road data, population weighted centroids for each of the 2011 Census LSOA areas and hospital locations?
I have all of the above in QGIS (see image below).
There are 537 LSOA and four hospitals in total. Is there a way to work out the time taken and/or distance to travel without having to do it one by one?