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SN74HCS08: Slow rise/fall time issue

Part Number: SN74HCS08

Hi,

    We use 74hcs serie chips to solve the slow rise/fall time issue,  because  RC(R:30K C:0.22uf)  is designed  as the input of 74hcs08   to  have a  certain delay time. 

  We belive that the solw rise time is suitable for hcs chips as the datesheet described:

    However,   the slow rise/fall siganl  may failue to triggle the 74hcs08.

    What is the problem of this design?

    Thanks very much!