On their family vacation the Landis family drove through 34 miles on Monday they drove 354 more miles on Tuesday how many total miles did the landing family drive on Monday and Tuesday
On Monday, the Landis family drove 34 miles.
On Tuesday, they drove 354 more miles than on Monday, so the total on Tuesday is 34 + 354 = <<34+354=388>>388 miles.
The Landis family drove a total of 34 + 388 = <<34+388=422>>422 miles on Monday and Tuesday. Answer: \boxed{422}.