Depending on the battery type (flooded cell, Gel, AGM, LiFEPO4, etc) will determine the charging rate. I am going to assume you have the basic lead acid flooded cell ones. They can only take in so much current at a time without overheating and damaging or blowing up the battery. They start off at whatever the maximum programmed rate is, get the battery to about 80%, then cut back on the rate for the last 20%. You can get the 80% in a couple of hours, the last 20% can take several hours depending on the battery bank size and the chargers.
Usually multiple charging sources will not play well together, they depend on voltage readings to charge the batteries correctly. By trying to use multiple charging sources they will "read" each other and assume the battery is full and cut the charging power back.
Best bet is to choose a single source and optimize it for your specific battery set up and camping style. In my case I have a motor home and use the on board converter (Progressive Dynamic) to keep my batteries charged when plugged up. If we happen to be dry camping (no hookups) I have portable solar panels that can be set up or I can run the generator and use the on board converter.
In the past I have had a TT with 300 watts of solar on the roof, it kept the battery bank charged up with no problems. I never used the converter, in fact it stayed switched off at the breaker.
Aaron