<PRE><B>Question 732454</B>
Let r = speed for the first 440 miles of the trip.


TRIP PART__________Speed___________Time____________Distance
First______________r_______________(____)__________440
Last_______________r+5_____________(____)__________120
TOTAL_______________________________10_____________560


We fill in the missing time information using [speed]*[time]=[distance], or in this arrangement of data, [time]=[distance]/[speed].


TRIP PART__________Speed___________Time____________Distance
First______________r_______________({{{440/r}}})__________440
Last_______________r+5_____________({{{120/(r+5)}}})__________120
TOTAL_______________________________10_____________560


The sum of the time quantities for each part of the trip was given as 10 hours, so the useful equation is {{{highlight(440/r+120/(r+5)=10)}}}.  Solve for r.
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