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Mathematics-Online problems:

Interactive Problem 1118: Positions of the Hands of a Clock

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The pictures show different positions of a clock with hour (bold), minute and second hands (dashed).

\includegraphics[width=\moimagesize]{TdM_07_A4_bild1.eps}


In the period after 0:00 and before 12:00, how often do

a)     positions of hands coincide and
b) hands form a right angle?

Each question should be answered separately for all three possible combinations of the hands.


Answer:

a)     Hour hand/Minute hand
  Hour hand/Second hand
  Minute hand/Second hand

b)     Hour hand/Minute hand
  Hour hand/Second hand
  Minute hand/Second hand


   

(From: Mathematics Contest 2007)
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  automatically generated: 2/ 6/2018