SOLUTION: I do not know how to solve this problem please help me. the problem says: Carlos and Maria drove a total of 358 miles in 6.7 hours. Carlos drove the first part of the trip and aver

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Question 241619: I do not know how to solve this problem please help me. the problem says: Carlos and Maria drove a total of 358 miles in 6.7 hours. Carlos drove the first part of the trip and averaged 55 miles per hour. Maria drove the remainder of the trip and averaged 52 miles per hour.For approximately how many hours did Maria drive? Round your answer to the nearest tenth if necessary. Please help me and I need to show my work. Thank you.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Carlos and Maria drove a total of 358 miles in 6.7 hours.
Carlos drove the first part of the trip and averaged 55 miles per hour.
Maria drove the remainder of the trip and averaged 52 miles per hour.
For approximately how many hours did Maria drive?
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Carlos DATA:
rate = 55 mph ; time = t hrs ; distance = rt = 55t miles
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Maria DATA:
rate = 52 mph : time = 6.7-t hrs ; distance = rt = 52(6.7-t) miles
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Equation:
distance + distance = 358 miles
55t + 52(6.7-t) = 358
3t + 348.4 = 358
3t = 9.6
t = 3.2 hrs (# of hrs Carlos drove
6.7-t = 3.5 hrs (# of hrs Maria drove.
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Cheers,
Stan H.