Using perl to parse a non-delimited file?

I have a text file with a number of repeating entries of the format;

____________
Start: 4/16/2012 3:57:52 PM
End: 4/16/2012 3:57:54 PM
iterations: 100/100

Elapsed: 1660.8111ms
Requests/s: 60.2115436246783
s/Request: 0.016608111

Response Time (avg): 119.504229ms
Response Time (std dev): 153.677390837117ms
___________

I'm trying to parse out the Response Time (avg): value for each entry. I believe this is exactly the sort of task Perl is good for, however since this is my first foray into perl it is not going well. Could someone perhaps provide some assistance?