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CMI-2018-DataScience-A: 11

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$\text{Description for the following question:}$

Given below is the time table for a transcontinental train cutting across several time zones. All times given below are local time in respective cities. It is given that the average speed between any two cities is the same for both way journeys.

$$\begin{array}{|c|l|c|l|} \hline \textbf{local time}& \textbf{local time} & {} & & &  \textbf{local time}& \textbf{local time} \\\hline \textbf{arrival}& \textbf{departure} & & \textbf{City}& &  \textbf{arrival}& \textbf{departure} \\\hline -& 06:00 AM & \downarrow&  \text{Zut} &  &12:40 PM &\;\;\;\;\;- \\ 07:45 AM& 07:50 AM &\downarrow &  \text{Yag} &\uparrow &10:50 AM & 10:55 AM\\ 09:40 AM& 09:45 AM &\downarrow &  \text{Xum} & \uparrow & 06:55 AM & 07:00AM\\ 12:10 PM& 12:15 AM & \downarrow &  \text{Wip} & \uparrow &02:25 AM & 02:30 AM \\02:45 PM& 02:50 PM & \downarrow &  \text{Vaq} &\uparrow &11:50 PM & 11:55 PM\\04:05 PM& 04:10 PM & \downarrow &  \text{Uap} & \uparrow &08:30 PM & 08:35 PM\\05:40 PM& 05:45 PM & \downarrow &  \text{Tix} &\uparrow &04:55 PM & 05:00 PM \\ 07:40 PM& 07:45 PM & \downarrow &  \text{Sab} & \uparrow&12:55 PM & 01:00 PM\\ 10:40 PM&\;\;\; \;\;- &  &  \text{Raz} &\uparrow & \;\;\;\;\;\;- & 08:00 AM  \\\hline\end{array}$$

Write down time at Xum when it is $12:00$ noon at Raz.
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