SOLUTION: During rush hour, Fernando can drive 35 miles using the side roads in the same time that it takes to travel 30 miles on the freeway. If Fernando�s rate on the side roads is 9 mi/h

Question 73196: During rush hour, Fernando can drive 35 miles using the side roads in the same time that it takes to travel 30 miles on the freeway. If Fernando�s rate on the side roads is 9 mi/h faster than his rate on the freeway, find his rate on the side roads.
Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!

Let x=rate on freeway
Then (x+9)=rate on side roads
distance(d)=rate(r) times time(t) or d=rt and t=d/r
time to drive 35 mi using side roads=
And time to drive 30 miles using freeway=
Now we are told that the above two times are equal, so:
multiply both sides by
get rid of parens
subtract 30 from both sides
collect like terms
divide both sides by 5
mph----------------------------------rate on freeway
mph---------------------------rate on side roads
CK
t=d/r
35/63=30/54
0.55555=0.55555

Hope this helps---ptaylor

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