Question

At what time after 4.00 p.m. is the minutes hand of a clock exactly aligned with the hour hand?

Answer 1

4:21:49 .5... .........
assume that X minutes after 4:00Pm minute hand exactly
align with hour hand
for every minute, minute hand traveld 6 degrees
hence for X minutes it will travel 6*xdegrees
for every minute, hour hand travels1/2 °
x minutes it will travel x/2°
6*x=120+x/2

12*x=240+x

11*x=240

x=21.8182

x= 21 minutes 49.5 seconds

hence at 4:21:49.5 minutes hand exactly aligned with the hour hand.

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