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integer X degrees the angle betweeen hour and minutes

Source: 2013 Moldova JBMO TST p4

February 25, 2021
algebraangles

Problem Statement

A train from stop AA to stop BB is traveled in XX minutes (0<X<600 <X <60). It is known that when starting from AA, as well as when arriving at BB, the angle formed by the hour and the minute had measure equal to XX degrees. Find XX .
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