For this case what we should do is write the equation of movement for each one.
 We have then:
 For Jen:
 r = 45 * t
 For Karen:
 r = 60 * (t-0.5)
 Equating equations we have:
 45 * t = 60 * (t-0.5)
 Clearing time:
 60t - 45t = 30
 15t = 30
 t = 30/15
 t = 2 hours
 Answer:
 karen catches up with her after 2 hours.