SOLUTION: Amy left work and drove toward the lake. Gabriella left work one hour later, driving 15 mph faster, in an effort to catch up with Amy. After two hours, Gabriella finally caught up

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Question 1040319: Amy left work and drove toward the lake. Gabriella left work one hour later, driving 15 mph faster, in an effort to catch up with Amy. After two hours, Gabriella finally caught up with Amy. How fast was each woman driving?
amy=x gab=x+15
amy traveled a total of 3hrs
gab traveled 2hrs
x(3)=(x+15)(2)
3x=2x+30
3x-2x=2x-2x+30
x=30
Check:
30(3)=(30+15)(2)
90=(45)(2)
90=90
x+15
30+15=45
Answer: Amy drove 30 mph and Gab drove 45 mph.

Answer by Boreal(15235) About Me  (Show Source):
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