Question

What are the times during that day that a clock's hands are 180 degrees apart?

Answer by Rachel C

1 : 1:38
2 : 2:43
3 : 3:49
4 : 4:54
5 : 5:59
6 : 6:00
7 : 7:05
8 : 8:10
9 : 9:16
10 : 10:21
11 : 11:27
12 : 12:32


<?php

for ($i = 1; $i < 13; $i++) {
       print $i . " : ";
       print OneEightyCircle($i);
       print "
";
}


function OneEightyCircle($hour) {
       $min = ($hour + 6) * 5;
       if ($min >= 60) $min = $min - 60;
       $maxMin = $min + 4;
       if (floor($maxMin/12) == floor($min/12)) {
               // really only have one option here
               $finalMin = $min + floor($min/12);
       } else {
               // now have two options
               $d1 = floor($min/12);
               $d2 = floor($maxMin/12);

               $htest = ($hour * 5) + $d2 + 30;
               if ($htest > 60) $htest = $htest - 60;

               if ($htest >= ($d2 * 12)) {
                       $finalMin = $min + $d2;
               } else {
                       $finalMin = $min + $d1;
               }
       }
       if ($finalMin < 10) {
               $time = $hour . ":0" . $finalMin;
       } else {
               $time = $hour . ":" . $finalMin;
       }
       return $time;
}

?>