Question

If the original time is 6:15:15 seconds what is the time shown by that watch in the mirror?

Answer 1

Step-by-step explanation:

5:15 = hour:minute = X:Y

Clock hand angles always follow the formulas (12 counts as 0 o’clock and 0 degrees = straight up):

angle(X) = 30X + 0.5Y

angle(Y) = 6Y

Therefore:

angle(X) = 30X + 0.5Y = 150 + 7.5 = 157.5 degrees

angle(Y) = 6Y = 90 degrees

To obtain the mirror angles subtract these from 360 degrees:

angle(X)2 = 360 - 157.5 = 202.5 degrees

angle(Y)2 = 360 - 90 = 270 degrees

Now work out the new time X:Y using these angles:

6Y = 270 degrees, Y = 45 (minutes)

30X + 0.5Y = 202.5 degrees

30X + 22.5 = 202.5

30X = 180, X = 6 (hours)

The mirror time for 5:15 = 6:45

HOPE IT HELPS!!