SOLUTION: larry drove a total distance of 330 miles to visit his uncle. He averaged 68 miles per hour for the first part of the journey. traffic congestion forced him to slow to an average o
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Question 1127131: larry drove a total distance of 330 miles to visit his uncle. He averaged 68 miles per hour for the first part of the journey. traffic congestion forced him to slow to an average of 52 miles per hour for the remainder of the road trip. His total driving time was 5.3 hours. how long did larry travel at the faster rate of 68 miles per hour? How long did he travel at the slower rate of 52 miles per hour? Answer by ikleyn(52786) (Show Source):
Let x be the distance averaged at 68 mph and let y be the distance averaged at 52 mph.
Then your mathematical model consists of these two equations
x + y = 330 miles (1) (the total distance equation)
+ = 5.3 hours. (2) (the total time equation).
Solve it to get the answer.
You also can to reduce the Math model to the only one single equation
+ = 5.3.
Either model will bring you to the same final result.