Carlos and Maria drove a total of 358 miles in 67 hours Carl

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?

Solution

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.