Question 22284
Bus 1: 
Rate: 44, Time: X+1
Bus 2:
Rate: 48, Time: X
Bus 1 is 'X+1' since it left an hour before Bus 2 whose time traveled is 'x' since we don't know how long it is traveling.
We want to find out when the combined rate and times of the two buses = 274
Rate*Time=Distance
Bus 1's Distance+Bus 2's Distance=274
44(x+1)+48x=274
44x+44+48x=274
92x=230
x=2.5
Don't celebrate and think it took 2.5 hours. We want to know how long it took starting from when the first bus left for the two buses to be 274 miles apart.
Bus 1: Time=(x+1)=(2.5+1)=3.5 hours or 3 hours, 30 minutes. 
1pm+3 hours 30 minutes=4:30pm
You can always plug in 2.5 into the original equation to double check.