At Westonci.ca, we make it easy for you to get the answers you need from a community of knowledgeable individuals. Experience the ease of finding quick and accurate answers to your questions from professionals on our platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

Carlos and Maria drove a total of 197 miles in 3.8 hours. Carlos drive the first part of the trip and averaged 55 miles per hour. Maria drove the remainder of the trip and averaged 47 miles per hour. For approximately how many hours did Maria drive?

Sagot :

c=carlos's hour, m=maria
55c+47m=197
c+m=3.8
c=-m+3.8

55(-m+3.8)+47m=197
-55m+209+47m=197
-8m=-12
m=1.5

maria drove 1.5hr or 1 and a half hr.
Hello ! 

Maria : x                                          [tex]55y+47x=197 \\ x+y=3.8 \\ y=3.8-x[/tex]
Carlos : y

[tex]55(-x+3.8)+47x=197 \\ -55x+209+47x=197 \\ 209-197=55x-47x \\ 12=8x \\12/8=x \\ 1.5=x \\ \\ Maria drove 1.5 hour or 1 hour 30 minute. [/tex]