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X minutes for electric train - All-Russian MO 2000 Regional (R4) 8.5

Source:

September 25, 2024
algebrageometryangles

Problem Statement

The electric train traveled from platform A to platform B in XX minutes (0<X<600< X<60). Find XX if it is known that as at the moment departure from A, and at the time of arrival at B, the angle between hourly and the minute hand was equal to XX degrees.