SharePoint 2010: Windows could not start the administration service on local computer.

Related also with: 

Error 1053: The service did not respond to the start or control request in a timely fashion (SharePoint)

Resolution:

Increased the default service time-out

• Click Start, click Run, type regedit in the Open box, and then click OK.
• Locate and then select the following registry subkey:
• HKEY_LOCAL_MACHINE\SYSTEM\CurrentControlSet\Control
• Right-click Control, point to New, and then click DWORD Value.
• In the New Value box, type ServicesPipeTimeout, and then press Enter.
• Right-click ServicesPipeTimeout and then click Modify.
• Click decimal, type the number of milliseconds that you want to wait until the service times  out, and then click OK.
• Exit Registry Editor and then restart the computer.

Restarted the server and issue has been resolved.