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Dana, Susan, and Caitlin Enter a Race in Which They

question 50

Essay

Dana, Susan, and Caitlin enter a race in which they have to run, swim, and cycle over a marked course. Their average speeds are given in the table. Caitlin finishes first with a total time of 2 h 45 min. Dana comes in second with a time of 3 h 30 min. Susan finishes last with a time of 4 h 15 min. Find the distance (in miles) for each part of the race.
 Average speed (mi/h)  Running  Swimming  Cycling  Dana 10420 Susan 5420 Caitlin 10340\begin{array} { | c c c c | } \hline & &{ \text { Average speed (mi/h) } } \\& \text { Running } & \text { Swimming } & \text { Cycling } \\\text { Dana } & 10 & 4 & 20 \\\text { Susan } & 5 & 4 & 20 \\\text { Caitlin } & 10 & 3 & 40 \\\hline\end{array}


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