If the angle between the hands of a clock be
and the time it reads between 7 and 8, find the time indicated by the clock.
Text Solution
Verified by ExpertsA
When the clock reads
clock, the angle between the two hands is
. If the required time is 7 hours
minutes, then we must have

[As the hour hand revolves
in one hour and minute hand revolves
in one hour, i.e.,
in one minute.]

or
156
or 
But
is not a whole number and clock cannot read this time, therefore, the time shown by the clock is 7:48.
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