will a group 24 and a 50watt panel be enough for 2 week trip

Just a comment. I have 4 group 24 batteries on my Ford F350 setup with a #4 truck to to battery charge wire thru a solenoid. I have been disappointed with the charge rate from my stock 110-120 amp alternator. According to my Trimetric at about 1500 RPM with 60-70 percent battery charge I only see about 15 amps. Where plugged in to 110 I'll see 45. The solar has worked much better for me, from my 3-100w panels I've seen 17 amps at times and 12 amps commonly.