SOLUTION: Jan and Kathy drove a total of 534 miles in 12.8 hours. Jan drove the first part of the trip and averaged 55 miles per hour. Kathy drove the second part of the trip and averaged 3
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Question 192825: Jan and Kathy drove a total of 534 miles in 12.8 hours. Jan drove the first part of the trip and averaged 55 miles per hour. Kathy drove the second part of the trip and averaged 35 miles per hour. For what length of time did Jan drive? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! : Jan and Kathy drove a total of 534 miles in 12.8 hours. Jan drove the first
part of the trip and averaged 55 miles per hour. Kathy drove the second part
of the trip and averaged 35 miles per hour. For what length of time did Jan drive?
:
Let t = time driven by J
then
(12.8-t) = time driven by K
:
Write a dist equation; dist = speed * time
:
J's dist + K's dist = 534 mi
55t + 35(12.8-t) = 534
:
55t + 448 - 35t = 534
55t - 35t = 534 - 448
20t = 86
t =
t = 4.3 hrs, J drove
:
:
Check solution, find the dist driven by each; K drove 12.8 - 4.3 = 8.5
55 * 4.3 = 236.5 mi
35 * 8.5 = 297.5
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total dist: 534
