SOLUTION: Chase drove 192 miles on country roads before driving 68 miles on mountain raods. Chase's rate of travel on the country roads was 3.2 times the rate of travel on the mountain roads

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Question 1145678: Chase drove 192 miles on country roads before driving 68 miles on mountain raods. Chase's rate of travel on the country roads was 3.2 times the rate of travel on the mountain roads. His whole travel time was 6.4 hours.
What was Chase's rate of travel on mountain roads?
What was Chase's rate of travel on country roads?
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


x = rate (miles per hour) on mountain roads
3.2x = rate on country roads

68/x = hours on mountain roads
192/3.2x = hours on country roads

The total driving time was 6.4 hours:

68%2Fx%2B192%2F3.2x+=+6.4
68%2Fx%2B60%2Fx+=+6.4
128%2Fx+=+6.4
x+=+128%2F6.4+=+20

ANSWER: 20mph on mountain roads