SOLUTION: Gillbert and Chris drove a total of 1040 miles in 17.4 hours. Gillbert drove the first part of the trip and averaged 55 miles per hour. Chris drove the remainder of the trip and av

Question 108849: Gillbert and Chris drove a total of 1040 miles in 17.4 hours. Gillbert drove the first part of the trip and averaged 55 miles per hour. Chris drove the remainder of the trip and averaged 65 miles per hour. For what length of the time did Gillbert drve?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Gilbert and Chris drove a total of 1040 miles in 17.4 hours. Gilbert drove the first part of the trip and averaged 55 miles per hour. Chris drove the remainder of the trip and averaged 65 miles per hour. For what length of the time did Gilbert drive?
:
Let t = time that G drove
Then
(17.4 - t) time that C drove
:
It gives us the total miles driven, write a distance equation:
Distance = Speed * time
:
C's dist + G's dist = 1040 mi
65(17.4-t) + 55t = 1040
:
1131 - 65t + 55t = 1040
:
-10t = 1040 - 1131
:
-10t = -91
:
t = -91/-10
:
t = + 9.1 hrs driven by G
:
:
Check solution, by confirming the distance
::
C drove: 17.4 - 9.1 = 8.3 hrs
:
(65*8.3) + 55*9.1) =
539.5 + 500.5 = 1040
:
:
Was this understandable? Any questions?

RELATED QUESTIONS
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)

Chris and Gilbert drove a total of 522 miles in 8.2 hours. Chris drove the first part of... (answered by ewatrrr)

Chris and Gilbert drove a total of 459 miles in 11.8 hours. Chris drove the first part of (answered by richwmiller)

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

Chris and Leslie drove a total of 969 miles in 17.4 hours. Chris drove the first part of... (answered by ewatrrr)

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)

Chris and leslie drove at total of 503 miles in 12.8 hours. Christ drove the first part... (answered by ankor@dixie-net.com)

Jan and Kathy drove a total of 534 miles in 12.8 hours. Jan drove the first part of the... (answered by ankor@dixie-net.com)