document.write( "Question 321431: At 8 o'clock, the hour hand and the minute hand are perpendicular. They form
\n" ); document.write( "straight line 16 4/11 minutes later. How many minutes after 9 o'clock are they
\n" ); document.write( "perpendicular again?
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #230231 by scott8148(6628)\"\" \"About 
You can put this solution on YOUR website!
At 9 o'clock ... not 8\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "the hour hand moves 1/12 of a circle in 60 min ___ 1/2º per min\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "the minute hand moves 360º in 60 min ___ 6º per min\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "the starting angle is 90º ___ the hands will be perpendicular again when that angle is 270º\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "90 - (1/2)m + 6m = 270 ___ (11/2)m = 180 ___ m = 360/11 = 32 8/11 min\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "the wording of the problem shows that the angle increases 90º every 16 4/11 min
\n" ); document.write( "___ 2 * (16 4/11) = 32 8/11
\n" ); document.write( "
\n" );