SOLUTION: Kathy and Jan drove a total of 497 miles in 10.4 hours. Kathy drove the first part of the trip and averaged 45 miles per hour. Jan drove the remainfer of the trip and averaged 55 m

Question 141489: Kathy and Jan drove a total of 497 miles in 10.4 hours. Kathy drove the first part of the trip and averaged 45 miles per hour. Jan drove the remainfer of the trip and averaged 55 miles per hour. for what length of the time did Kathy drive?
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
45X+55(10.4-X)=497
45X+572-55X=497
-10X=497-572
-10X=-75
X=-75/-10
X=7.5 HOURS WAS KATHY'S DRIVING TIME.
10.4-7.5=2.9 HOURS FOR JAN'S DRIVING TIME.
PROOF
45*7.5+55*2.9=497
337.5+159.5=497
497=497

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