SOLUTION: A cyclist traveled at a certain speed to a town 30km away, then reduced speed by 4km/hr and came back. If the cyclist had travelled at a steady 8km/hr for the whole trip, the total

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Question 1072274: A cyclist traveled at a certain speed to a town 30km away, then reduced speed by 4km/hr and came back. If the cyclist had travelled at a steady 8km/hr for the whole trip, the total time would have been half an hour less. What was the initial speed of the cyclist.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Round Trip, 60 km.

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If the cyclist had travelled at a steady 8km/hr for the whole trip, the total time would have been half an hour less.
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8%28t-1%2F2%29=60
8t-4=60
2t-1=15
2t=16
t=8, the original total trip time, hours.
NOT the whole or finished answer; just part-way to it.



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cyclist traveled at a certain speed to a town 30km away, then reduced speed by 4km/hr and came back
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                      SPEED      TIME        DISTANCE
TO TOWN                r         30/r         30
RETURN                r-4        30/(r-4)     30
Total                            8

EQUATION TO SOLVE, 30%2Fr%2B30%2F%28r-4%29=8