Answer
Beth arrives at 3:40 pm, while Alan arrives at 4 pm.
Work Step by Step
(distance)=(rate x time)
(time)=(distance$\div$rate)
For Alan, (time)=(400$\div$50)= 8 hours.
8 a.m + 8 hours = 4 P.M.
For Beth, (time)=(400$\div$60)
= (20$\div$3)
= 6 hours and 40 minutes.
9 a.m + 6 Hours and 40 minutes = 3:40 P.M.
Beth arrives first.