Future continuous v/s Future pefect tense

Which one of these sentences is correct:

1. we will go to US Pizza, where Perlee would be reaching earlier than us
2. we will go to US Pizza, where Perlee would be reaching before us
3. we will go to US Pizza, where Perlee would have reached before us


I think number 3 is the correct usage and numbers 1 and 2 are either wrong or not-so-good construction. My fiancee believes all three are equally correct.

Can you give your expert comments?

Thanks

[twostep]

Originally Posted by j_p

Which one of these sentences is correct:

1. we will go to US Pizza, where Perlee would be reaching earlier than us
2. we will go to US Pizza, where Perlee would be reaching before us
3. we will go to US Pizza, where Perlee would have reached before us


I think number 3 is the correct usage and numbers 1 and 2 are either wrong or not-so-good construction. My fiancee believes all three are equally correct.

Can you give your expert comments?

Thanks

Neither - the use of reach does not fit the context.

Can you please give the correct way of saying it?