Carlos and Maria drove a total of 258 miles in 5 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 many hours did Maria drive? Round your answer to the nearest tenth if necessary.
+130511 Let the time Carlos drove = x ....then the time that Maria drove = (5-x)
And Rate * Time = Distance ....so we have
53x + 51(5-x) = 258 simplify
53x + 255 - 51x = 258
2x + 255 = 258 subtract 255 from both sides
2x = 3 divide both sides by 2
x = 3/2 and Maria drove (5 - x) = 5 - 3/2 = 3.5 hs.
+130511 Let the time Carlos drove = x ....then the time that Maria drove = (5-x)
And Rate * Time = Distance ....so we have
53x + 51(5-x) = 258 simplify
53x + 255 - 51x = 258
2x + 255 = 258 subtract 255 from both sides
2x = 3 divide both sides by 2
x = 3/2 and Maria drove (5 - x) = 5 - 3/2 = 3.5 hs.
