Carlos and Maria drove a total of 191 miles in 3.8 hours. Carlos drove the first part of the trip and averaged 49 miles per hour.

Question

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.

Answer 1

Let c = Carlos' time and m = Maria's time. Distance = rate x time

 

c + m = 3.8 -------> c = 3.8 - m

49c + 52m = 191

 

49(3.8 - m) + 52m = 191

186.2 - 49m + 52m = 191

3m = 4.8

m = 1.6

 

Maria drove for 1.6 hours.