SOLUTION: If someone could help me with this distance word problem it would be greatly appreciated. Thank you During rush hour, Ella can drive 50 miles using the side roads in the same time

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Question 88935: If someone could help me with this distance word problem it would be greatly appreciated. Thank you
During rush hour, Ella can drive 50 miles using the side roads in the same time it takes to travel 20 miles on the freeway. If Ella's rate on the side roads is 9 mi/hr faster than her rate on the freeway. Find her rate on the side roads.

Answer by scott8148(6628)   (Show Source): You can put this solution on YOUR website!
rate*time=distance ... time=distance/rate ... the problem says the "same" time, and the freeway is 9 mph SLOWER

so (side road distance)/(side road rate)=(freeway distance)/(side road rate minus 9 mph)

50/x=20/(x-9) ... cross multiplying gives 50x-450=20x ... -450=-30x ... x=15

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