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

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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(39617) About Me  (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?



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