SOLUTION: Carlos and Maria drove a total of 24 miles in 4.9 hours. Carlos drove the first part of the trip and averaged 54 mph. Maria drove the remainder of the trip and averaged 47 mph.

Question 487422: Carlos and Maria drove a total of 24 miles in 4.9 hours. Carlos drove the first part of the trip and averaged 54 mph. Maria drove the remainder of the trip and averaged 47 mph. For approximately how many hours did Maria drive/ Thanks for your help.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Carlos and Maria drove a total of 24 miles in 4.9 hours.
Carlos drove the first part of the trip and averaged 54 mph.
Maria drove the remainder of the trip and averaged 47 mph.
For approximately how many hours did Maria drive/
:
24 miles in 4.9 hrs does not make sense, that's about the speed you would walk.
Let's assume it's 240 miles, that would be reasonable
:
let m = M's drive time
the total time was given as 4.9 hrs, therefore
(4.9-m) = C's drive time
:
Write a distance equation, dist = speed * time
:
M's dist + C's dist = 240
47m + 54(4.9-m) = 240
47m + 264.6 - 54m = 240
47m - 54m = 240 - 264.6
-7m = -24.6
m =
m ~ +3.5 hrs driven by M
;
:
Check this by finding the distances (C drives 4.9 - 3.5 = 1.4 hrs)
54*1.4 = 75.6 mi
47*3.5 = 164.5 mi
---------------
total dist:241 ~ 240
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