I would consider making the output of the new one T into the first one's output beyond its check valve and put the new one in the sump hole an inch or two above the old one so that it doesn't turn on until the other one fails to turn on. I would put a switch on both of them so that I could run either without the other independently allowing me to operate the second one alone sometimes to make sure it works ok. If both run at the same time, it should only be for a very short time till the second one turns off and water should shoot out of the output pretty quick.
If this idea is not good to you, use either two separate output pipes or one pipe with a cross section area equal to two times that of the old pipe - rnew = 1.4 x rold, I think so a 1" dia pipe should be replaced with a 1.4" diameter, but I bet a 1.5" would work just fine.