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When Xiao Ying came home between 1 1 and 12 at noon, he saw that the hour hand and the minute hand of the wall clock were at right angles. Can you work out what time it is?
Walking in minutes is 360 degrees. At this time, the hour hand walks a number at an angle of 360/ 12=30 degrees, the minute hand walks a number at an angle of 360/60= 6 degrees per minute, and the hour hand walks a number at an angle of 30/360 =112,6544.

6X-(X/ 12)*6= 180-30

6x-x/2= 150

1 1X/2= 150

X=300/ 1 1

X=27.27

At 27.27 minutes of 1 1, the hour hand and the minute hand just form a right angle.