user61222: let p be the hash rate that belongs to honest network and T be the time a block is found. In the Bitcoin paper it's said "assuming the honest blocks took the average expected time per block...". In another paper it's said this average time is T/p. 
Question: What is the average time for an honest network to find a block?
If it's T/p, why?

I think, 
if p+q=1, where q is an attacker's hash rate and a block is found with the full hash rate: H, in T time. Then for an honest network, it would take, pT (not T/p).
Am I missing something?   

user75001: I do not agree with the assumptions.
In the Bitcoin network, the average block time is also a function of the difficulty, approximately:
(P*d)/p = 10 minutes

Where P is the average number of hashes to obtain a new block in 10 minutes (if d=1 and p=1 at base - it wasn't - then P=600), d is the current network difficulty and, p is the current network hash rate per second.

61222: <p>let p be the hash rate that belongs to honest network and T be the time a block is found. In the Bitcoin paper it's said "assuming the honest blocks took the average expected time per block...". In another <a href="https://arxiv.org/pdf/1701.03977.pdf" rel="nofollow noreferrer">paper</a> it's said this average time is T/p. </p>

<p><strong>Question</strong>: What is the average time for an honest network to find a block?</p>

<p>If it's T/p, why?</p>

<hr>

<p>I think, </p>

<p>if p+q=1, where q is an attacker's hash rate and a block is found with the full hash rate: H, in T time. Then for an honest network, it would take, pT (not T/p).</p>

<p>Am I missing something?   </p>
 75001: <p>I do not agree with the assumptions.</p>

<p>In the Bitcoin network, the average block time is also a function of the difficulty, <em>approximately</em>:</p>

<pre><code>(P*d)/p = 10 minutes
</code></pre>

<p>Where P is the average number of hashes to obtain a new block in 10 minutes (if d=1 and p=1 at base - it wasn't - then P=600), d is the current network difficulty and, p is the current network hash rate per second.</p>
