SOLUTION: On the first part of a 317 mile trip, a salesperson averaged 58mph. He averaged only 52mph hour on the last part of the trip because of an increaced volume of traffic. The total ti

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Question 489684: On the first part of a 317 mile trip, a salesperson averaged 58mph. He averaged only 52mph hour on the last part of the trip because of an increaced volume of traffic. The total time of the trip was 5 hours and 45 minutes. Find the amount of time at each of the two speeds.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
First part = x miles
second part =317-x miles
x/58 + (317-x)/52 = 5 3/4
52x+58(317-x)= (23/4) * 52*58
52x+18386 -58x=17342
-6x=-1044
x=174 miles -------- first part
174/58 = time first part = 3 hours