Philadelphia to Newark Airport without AirTrain

Beginning May 1, the AirTrain monorail to Newark Liberty Airport will be closed for repairs. How can I get from Philadelphia to Newark Airport in this situation?
Best Answer
As of Thursday July 3, 2014 the EWR AirTrain is back in operation.
The Port Authority of NY/NJ press release on the shutdown includes the high-level details of the shutdown and the alternatives - including shuttle buses that will be added, along with standard bus lines that are available.
At this stage they have not announced many details of the shuttles that will be run, however I would expect they will in the next week or so. They will almost certainly have people available to direct/assist passengers, however I would expect the trip to take longer than normal, especially during peak traffic hours.
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Does Amtrak go directly to Newark Airport?
There is no direct access to this station by road. The station is accessible only via arriving trains or monorail directly from the airport for departures; you cannot drive to the train station. Parking and other facilities are available at the airport.Is EWR AirTrain free?
AirTrain is free for on-airport travel and makes frequent stops around the airport including airline terminals, parking lots, hotel shuttle areas and rental car facilities. Payment is made at Airport Station to enter or exit the system. Take AirTrain to Airport Station to connect to NJ TRANSIT and Amtrak.Can you take the path to Newark Airport?
PATH does not go to Newark Liberty International Airport. Passengers wishing to travel from areas served by PATH should take PATH to Newark Penn Station and connect with New Jersey Transit to get to Newark Airport.What's the Cheapest Way to Newark Airport from Philadelphia?
Sources: Stack Exchange - This article follows the attribution requirements of Stack Exchange and is licensed under CC BY-SA 3.0.
Images: Victoria Borodinova, Saveliy Bondarenko, Philippe Bonnaire, Denniz Futalan