SOLUTION: A cyclist traveled 60 mi at a constant rate before reducing the speed by 12 mph. Another 40 mi was traveled at the reduced speed. The total time for the 100-mile trip was 8 h. Find

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Question 703804: A cyclist traveled 60 mi at a constant rate before reducing the speed by 12 mph. Another 40 mi was traveled at the reduced speed. The total time for the 100-mile trip was 8 h. Find the rate during the first 60 mi.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
___________Speed------------Time---------Distance
High Speed___r_____________(___)_________60
Low Speed ___12____________(___)_________(__)
Total_______________________8____________100

Fill in the missing information to the table:
___________Speed------------Time---------Distance
High Speed___r_____________((60/r))_________60
Low Speed ___12____________(40/12)_________(40)
Total_______________________8____________100

The time sums to 8 hours:
60%2Fr%2B40%2F12=8
.
180%2B10r=24r
r=90/7,
r=12%2B6%2F7