Copy following in a batch file, and you could ping multiple address at once and logged it to files:

start powershell.exe -Command "ping -t 8.8.8.8 | ForEach {'{0} - {1}' -f (Get-Date),$_} >> C:\Logs\Dot8.log"
start powershell.exe -Command "ping -t 10.0.0.1 | ForEach {'{0} - {1}' -f (Get-Date),$_} >> C:\Logs\GW.log"
start powershell.exe -Command "ping -t 10.0.0.60 | ForEach {'{0} - {1}' -f (Get-Date),$_} >> C:\Logs\DC.log"