Hey there!! 
To find the time for 65 messages to be sent, let's first find the number of messages sent in 1 min. 
Hence, we will have to divide 52 and 8 
... 52/8
... 6.5 
We know that 6.5 messages are sent in 1 min. 
Let's take the number of minutes as 'x'. 
Then, 
... 6.5x = 65 
... x = 65/6.5 
... x = 10 
Another method: 
We could take ratios.
... 52/8 = 65/x 
... 52x = 65(8) 
... 52x = 520 
... x = 520 / 52 
... x = 10 
Hence, the number of minutes is 10. 
Hope it helps!