If you're saying brotli compresses/decompresses faster that gzip, it doesn't according to Cloudflare tests [1] (see table near bottom).
Even the fastest compression level of Brotli is slower than the highest/slowest compression level of gzip in most cases.
[1]: https://blog.cloudflare.com/results-experimenting-brotli/
It doesn't always compress faster, but as far as I can tell they didn't measure or say anything about decompression.
time bro --quality 6 --input linux-4.5.tar --output linux-4.5.tar.bro
real 0m18.436s user 0m18.228s sys 0m0.184s
time gzip -9 linux-4.5.tar real 0m30.555s user 0m30.424s sys 0m0.172s
ls -lh (I removed the metadata): 106M linux-4.5.tar.bro 129M linux-4.5.tar.gz
Only 82% of the size at 60% of the time. Now this is pure text so that's not a good example of everything.