Question 1072274
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(t-1/2)=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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<pre>
                      SPEED      TIME        DISTANCE
TO TOWN                r         30/r         30
RETURN                r-4        30/(r-4)     30
Total                            8
</pre>

EQUATION TO SOLVE,  {{{30/r+30/(r-4)=8}}}