I'd bet that'll solve the problem. FWIW, when you clean the drains again, and you should do this regularly, especially if the truck is stored outside and most especially if it's under or nearly under a tree:
» clean the drain tubes from the bottom, not the top.
The blockage, if any, is going to be at the top, in the pan. The tubes are around 3 feet long. It makes no sense to move that crap all the way from one end of the tubing to the other, just to remove it. Even if you don't have a compressor, you can buy a can of compressed air and use that, from the bottom ends of the tubes.
The rear ones are accessible from under the truck; look behind the rear wheels. The front tubes discharge into the pockets behind the kickpanel trim on each side.
Blowing anything into the tubes, from the top, risks lodging some trash in the tubes, at best, and at worst, you risk separating the tube from the pan nipple under the headliner. You really don't want to spend an afternoon dropping the headliner, just to reattach the drain tube to the pan...unless you hate yourself, or that's your penance for Lent.
IME, string trimmer string doesn't get the tubing as clean as compressed air. Nothing gets it as clean as completely removing it and soaking it in warm soapy water, which is my recommendation if you think the truck's been outside for a very long time and the drains haven't been cleaned regularly. You'll only have to do it once.
