{0∊≢¨⍵:≢∊⍵⋄⌊/(≢.↑+∘∇↓¨)∘⍵¨1↓,⍳2 2}
0∊≢¨⍵:≢∊⍵ ⍝ if any of the lengths are 0 return the sum of the lengths (length of longest)
1↓,⍳2 2 ⍝ (0 1)(1 0)(1 1)
∘⍵¨ ⍝ do the next stuff for each thing in ⍵, ⍵='turing' 'tarpit' for this example
↓¨ ⍝ ('turing' 'arpit') ('uring' 'tarpit') ('uring' 'arpit')
↑ ⍝ ('' 't') ('t' '') ('t' 't') (not quite but yes)