SOLUTION: A cyclist rode the first 24 mile portion of his workout at a constant speed. For the 16 mile cooldown portion of his​ workout, he reduced his speed by 4 miles per hour. Each

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Question 1080137: A cyclist rode the first 24 mile portion of his workout at a constant speed. For the 16 mile cooldown portion of his​ workout, he reduced his speed by 4 miles per hour. Each portion of the workout took the same time. Find the​ cyclist's speed during the first portion and find his speed during the cooldown portion.
Answer by ikleyn(52864)   (Show Source): You can put this solution on YOUR website!
.
Your equation is

 = .


Cross multiply:

24*(r-4) = 16r,

24r - 96 = 16r  --->  24r - 16r = 96  ---->  8r = 96  --->  r =  = 12.


Answer. The speed during the first portion is 12 miles per hour
         and the speed during the rest of the trip was 12-4 = 8 mph.


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