" Is that your attempt at catching up with me?"
or
" Is that your attempt of catching up with me?"
which does make more sense?
#1 is better. " eg Is that the best you can do to catch up with me? Clive
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#1 is better.
But more natural English is
eg Is that your best attempt to catch up with me?"
eg Is that the best you can do to catch up with me?
Clive