Autograph this, part 2
Kal Penn can sign 10 autographs per minute, receives $5 per autograph, and his signing sessions last for 20 minutes.
Benedict Cumberbatch can sign 3 autographs per minute and receives $12 per autograph.
What is the smallest positive integer number of minutes that Mr Cumberbatch can hold a session for in order to bring in more money per session than Kal Penn?
The answer is 28.
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1 solution
Kal Penn's sessions bring in 10 * 5 * 20 = 1,000 dollars.
Benedict Cumberbatch brings in $36 per minute (3 * 12) at his sessions. 1000/36 = 27.7777..., so in order to bring in more than $1000 and trump Mr Penn, Mr Cumberbatch has to have a session that is 28 minutes long.