a steamer takes 12 days to reach from port x to port y.every day only one steamer sets out from both the ports.how many steamers does each steamer meet in the open sea
 

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$$\begin{gathered} \mathrm{Both} \mathrm{steamers} \mathrm{start} \mathrm{at} \mathrm{same} \mathrm{time} \mathrm{each} \mathrm{day}, \mathrm{say}, 6 \mathrm{am} \\ \mathrm{Now}, \mathrm{were} \mathrm{don}\text{'}\mathrm{t} \mathrm{have} \mathrm{to} \mathrm{count} \mathrm{a} \mathrm{steamer} \mathrm{just} \mathrm{coming} \mathrm{into} \mathrm{port} \mathrm{or} \mathrm{just} \mathrm{leaving} \mathrm{port}. \\ \mathrm{When} \mathrm{steamer} \mathrm{A} \mathrm{starts}, \mathrm{there} \mathrm{are} \mathrm{already} 11 \mathrm{ships} \mathrm{on} \mathrm{the} \mathrm{open} \mathrm{sea}, \& 12 \mathrm{more} \\ \mathrm{will} \mathrm{be} \mathrm{encountered} \left(\mathrm{In} \mathrm{coming} 12 \mathrm{days}\right) \mathrm{on} \mathrm{the} \mathrm{open} \mathrm{sea} \mathrm{by} \mathrm{the} \mathrm{time} \mathrm{A} \mathrm{reaches} . \\ \mathrm{Hence} \mathrm{each} \mathrm{steamer} \mathrm{meet} 23 \mathrm{steamers} \mathrm{in} \mathrm{the} \mathrm{open} \mathrm{sea}. \end{gathered}$$

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