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.Com
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)   (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

RELATED QUESTIONS

for Carlos and maria drove a total of 258 miles in 5 hours. Carlos drove the first part... (answered by ankor@dixie-net.com)
Carlos and Maria drove a total of 211 miles in 4 hours. Carlos drove the first part of... (answered by richwmiller)
Carlos and Maria drove a total of 258 miles in 5 hours.Carlos drove the first part of the (answered by richwmiller)
carlos and maria drove a total of 217 miles in 4.1 hours. Carlos drove the first part of... (answered by ankor@dixie-net.com)
I am doing summer work and I am stuck on my last question: Carlos and Maria drove a... (answered by ankor@dixie-net.com)
Carlos and Maria drove a total of 258 miles in 5 hrs. Carlos drove the first part and... (answered by josmiceli)
Carlos and Maria drove a total of 331 miles in 6 hours. Carlos drove the first part of... (answered by richwmiller)
carlos and sheri drove a total of 258 miles in 5 hours. carlos drove the first part of... (answered by mananth)
carlos and maria drove a total of 280 miles in 5.5 hours. carlos drove the forst part of... (answered by nerdybill,checkley79)