The length of the bike ride is [[$ 60 $]] km. The initial distance, [[$ 45 $]] km, will be driven at a speed of [[$ 14 $]] km/h, whereas the final distance will be driven at a speed of [[$ 18 $]] km/h. Determine an expression for [[$ t = t (s) $]] where [[$ t $]] is the time (in hours) spent treading [[$ s $]], [[$ 0 ≤ s ≤ 60 $]]. Draw a graph of the function [[$ t (s) $]]. (Source: Finnish matriculation exam, spring 1996)

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Solution