Question 88070
Start by considering what is going on at 2PM. At that time, the first bus is 44 miles away from the second bus which hasn't yet left. From that point onwards, the buses will travel at their given speeds in opposite directions. You can write the equation for how long after 2PM the buses will be 274 miles apart:
{{{44+44t+48t=274}}}
Where t is the time in hours.
Solving for t:
{{{92t=230}}}
{{{t=2.5}}}hours
So, that is how long after 2PM that the buses are 274 miles apart. Add that to 2PM to get the time of day (which is what they are asking):
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4:30PM
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Good Luck,
tutor_paul@yahoo.com