Nicole cycles at a constant rate of 10 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?
Options
A) x
B) x/2
C) 2x/3
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) / 10 = x/20 hours = 3x minutes   Jessica needs to wait 3x - x = 2x minutes.   The answer is 2x.
<result>E</result>
Nicole cycles at a constant rate of 10 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?