SOLUTION: Kathy and Gilbert drove a total of 337 miles in 8 hours. Kathy drove the first part of the trip and averaged 35 miles per hour. Gilbert drove the remainder of the trip and averaged

Algebra.Com
Question 826470: Kathy and Gilbert drove a total of 337 miles in 8 hours. Kathy drove the first part of the trip and averaged 35 miles per hour. Gilbert drove the remainder of the trip and averaged 45 miles per hour. For what length of time did Kathy drive?
Answer by josgarithmetic(39616)   (Show Source): You can put this solution on YOUR website!

_____________speed_______________time____________distance
Kathy________35__________________x_______________35x
Gilbert______45__________________y_______________45y
Total___________________________(8)______________337

Do you understand this table, and do you know what to do with the data shown?



---------
The totals allow making a system of two equations in the unknowns, x and y:
--------
x+y=8
--------
35x+45y=337
--------

Best way to handle is Elimination Method. Multiply the time sum equation by 35, and subtract from the distance sum equation, and quickly get a value for y.
...

RELATED QUESTIONS

Please help me solve this problem: Kathy and Gilbert drove a total of 892 miles in 16.4... (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)
Kathy and Jan drove a total of 497 miles in 10.4 hours. Kathy drove the first part of the (answered by checkley77)
Chris and Gilbert drove a total of 459 miles in 11.8 hours. Chris drove the first part of (answered by richwmiller)
Kathy and Gilbert drove a total of 568 miles in 11 hours. Gilbert drove at an average of... (answered by josgarithmetic)
Chris and Gilbert drove a total of 522 miles in 8.2 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)
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)
Shelia and Todd drove a total of 503 miles in 12.8 hours. Todd drove the first part of... (answered by ankor@dixie-net.com)