On Monday morning a certain machine ran continuously at a uniform rate to fill a production order. At what time did it

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On Monday morning a certain machine ran continuously at a uniform rate to fill a production order. At what time did it completely fill the order that morning?

1) The machine began filling the order at \(9{:}30\) a.m.
2) The machine has filled \(1/2\) of the order by \(10{:}30\) a.m. and \(5/6\) of the order by \(11{:}10\) a.m.

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