SOLUTION: On a 560-mile trip, Andy averaged 5 miles per hour faster for the last 120 miles than he did for the first 440 miles. The entire trip took 10 hours. How fast did he travel for the

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Question 732454: On a 560-mile trip, Andy averaged 5 miles per hour faster for the last 120 miles than he did for the first 440 miles. The entire trip took 10 hours. How fast did he travel for the first 440 miles?
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
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]=[distance], or in this arrangement of data, [time]=[distance]/[speed].

TRIP PART__________Speed___________Time____________Distance
First______________r_______________(440%2Fr)__________440
Last_______________r+5_____________(120%2F%28r%2B5%29)__________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%28440%2Fr%2B120%2F%28r%2B5%29=10%29. Solve for r.