SOLUTION: Carlos and Maria drove a total of 311 miles in 6 hours. Carlos drove the first part of the trip and averaged 53 miles per hour. Maria drove the remainder of the trip and averaged 5

Algebra ->  Expressions-with-variables -> SOLUTION: Carlos and Maria drove a total of 311 miles in 6 hours. Carlos drove the first part of the trip and averaged 53 miles per hour. Maria drove the remainder of the trip and averaged 5      Log On


   



Question 804615: Carlos and Maria drove a total of 311 miles in 6 hours. Carlos drove the first part of the trip and averaged 53 miles per hour. Maria drove the remainder of the trip and averaged 51 miles per hour. For approximately how long did Maria drive?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
total time = 6 hours . total distance = 311 miles
let Carlos drive for x miles
Maria drives for 311-x miles

Carlos --speed = 53 mph: Carlos time = x/53
Maris speed = 53 mph: Maria time = (311-x)/51
Carlos time + Maria time = 6 hours
x/53 + (311-x)/51 =6
51x+53(311-x)= 6*51*53
51x+16483-53x=16218
-2x=-265
/-2
x=137.5 miles------ distance driven by Carlos