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But solving a BOINC task requires too much time while the average user rightfully expects a webpage to load within 5 seconds or so

Usually you have a landing page, and then you enter stuff there, and finally you get output. That gives you about 1 minute before returning first results.

If the user is faster, you can show something like cloudflare does when you visit through Tor.

On later submissions you can reuse the reputation from the cookie.

Still, 1 minute is far from enough to solve a BOINC task.

That is a nice idea. So bit similar to mCaptcha [0] that uses PoW algorithm, mentioned in other comment [1] in the thread.

[0] https://mcaptcha.org/

[1] https://news.ycombinator.com/item?id=32339902

Can we make a bot to mine a cryptocurrency?

It's called miner and you can already install it on your pc.