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

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
----------------
total dist: 534
RELATED QUESTIONS
Kathy and Jan drove a total of 497 miles in 10.4 hours. Kathy drove the first part of the (answered by checkley77)

Jan and Brian drove a total of 413 miles in 8.8 hours. Jan drove the first part of the... (answered by ikleyn)

Chris and Jan drove a total of 618 miles in 12.8 hours. Chris drove the first part of the (answered by ankor@dixie-net.com)

Kathy and Gilbert drove a total of 337 miles in 8 hours. Kathy drove the first part of... (answered by josgarithmetic)

les and gil drove a total of 733 miles in 11.6 hours. les drove the first part of the... (answered by stanbon)

Please help me solve this problem: Kathy and Gilbert drove a total of 892 miles in 16.4... (answered by ankor@dixie-net.com)

Les and Gil drove a total of 733 miles in 11.6 hours. Les drove the first part of the... (answered by checkley77)

Carlos and Maria drove a total of 211 miles in 4 hours. Carlos drove the first part of... (answered by richwmiller)

Uniform Motion Dave and Jane drove a total of 935 miles in 15.2 hours. Dave drove the (answered by Nate)