this one was a bit trickier than the previous one, but i think that that answer is correct. i did the same thing i did to solve your last problem, solved for the slope, and then made a number line and marked the points given, drew a line through the two points, and found where the line intercepted the y axis.
time = distance / speed time = 279/62 time = 4.5 hrs...or (4 hrs 30 minutes)
plus they plan on a 45 minute lunch... 4 hrs and 30 minutes + 45 minutes = 4 hrs and 75 minutes = 5 hrs 15 minutes. So they need 5 hrs and 15 minutes to get there...and they want to be there by 3.
