Nicole cycles at a constant rate of 12 kilometers per hour, and is passed by Jessica, who cycles at a constant rate of 30 kilometers per hour. If Jessica cycles at her constant rate for x minutes after passing Nicole, then stops to wait for her, how many minutes will Jessica have to wait for Nicole to catch up to her?  Choose the correct option:
A) x/3
B) x/2
C) x
D) 3x/2
E) 2x
In x minutes, Jessica travels (x/60)*30 = x/2 miles   The time it takes Nicole to travel x/2 miles is (x/2) / 12 = x/24 hours = 5x/2 minutes   Jessica needs to wait 5x/2 - x = 3x/2 minutes.   The answer is 3x/2.
<result>D</result>
Nicole cycles at a constant rate of 12 kilometers per hour, and is passed by Jessica, who cycles at a constant rate of 30 kilometers per hour. If Jessica cycles at her constant rate for x minutes after passing Nicole, then stops to wait for her, how many minutes will Jessica have to wait for Nicole to catch up to her?