Question

Janene and emily plan to go on a marathon training run. emily arrives late, so janene starts running 16 minutes before emily. janene runs at an average rate of 9 minutes per mile, and emily runs at an average rate of 8 1/4 minutes per mile. assuming that both girls started at the same location and ran the same route, how many minutes will emily take to catch up to janene?

Answer 1

We write the kinematic equations for each one.
 We have then:
 For Janene:
 r = (9) * t
 For Emily:
 r = (8.25) * (t-16)
 Equating both equations:
 (9) * t = (8.25) * (t-16)
 t (9-8.25) = - 132
 t = -132 / (9-8.25)
 t = -176
 We observe that time is negative, which physically does not make sense.
 This means that Emily does NOT reach Janene.
 Answer:
 Emily DOES NOT reach Janene