SOLUTION: carlos and maria drove a total of 217 miles in 4.1 hours. Carlos drove the first part of the trip and averaged 52 miles an hour. Maria drove the rest of the trip and averaged 54 mi

Question 971010: carlos and maria drove a total of 217 miles in 4.1 hours. Carlos drove the first part of the trip and averaged 52 miles an hour. Maria drove the rest of the trip and averaged 54 miles per hour. How many hours did Maria drive?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
carlos and maria drove a total of 217 miles in 4.1 hours.
Carlos drove the first part of the trip and averaged 52 miles an hour.
Maria drove the rest of the trip and averaged 54 miles per hour.
How many hours did Maria drive?
:
let t = time driven by M
then
(4.1-t) = time driven by C
:
write a distance equation; dist = speed * time
54t + 52(4.1 - t) = 217
54t + 213.2 - 52t = 217
54t - 52t = 217 - 213.2
2t = 3.8
t = 3.8/2
t = 1.9 hrs driven by M
:
:
Check this out find the time driven b C: 4.1-1.9 = 2.2 hrs
Find how far each actually drove
C: 52 * 2.2 = 114.4
M: 54 * 1.9 = 102.6
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total dist: 217 mi
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