Question

Carlos and Maria drove a total of 217 miles in 4.1 hours. Carlos drove the first part of the trip and averaged 52 miles per hour. Maria drove the remainder of the trip and averaged 54 miles per hour. For approximately how many hours did Maria drive? Round your answer to the nearest tenth if necessary

Answer 1

Its 1.9 hours.

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Answer 2

Travel time when Carlos traveled at 52 miles/hr = t1
Travel distance when Carlos traveled at 52 miles/hr = 52 t1

Travel time when Maria traveled at 54 miles/hr = t2
Travel distance when Maria traveled at 54 miles/hr = 54 t2

total time
t1 + t2 = 4.1

total distance
52 t1 + 54 t2 = 217

( t1 + t2 = 4.1 ) * 52
52 t1 + 52 t2 = 213.2

Subtract last 2 equations
2 t2 = (217-213.2)
2 t2 = 3.8
t2 = 1.9

t1 = 2.2

Hours Maria driven = 2.2 hours