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Question Number 193565 by Mingma last updated on 16/Jun/23

Answered by mr W last updated on 17/Jun/23

say at time x hours after 0 o′clock.  assume the hands move continuously.  position of hour hand: 30x °  position of minute hand: (x−[x])×60×6 °   (x−[x])×60×6 −30x=±45   22x−24[x]=±3  ⇒x=((24[x]±3)/(22)) with [x]=0, 1, 2, ..., 11  i.e. at following times:  (totally 22 possibilities)  x=(3/(22))⇔0h8m11s  x=((21)/(22))⇔0h57m16s  x=((27)/(22))⇔1h12m38s  x=((45)/(22))⇔2h2m44s  x=((51)/(22))⇔2h19m5s  ......  x=((243)/(22))⇔11h2m44s  x=((261)/(22))⇔11h51m49s

sayattimexhoursafter0oclock.assumethehandsmovecontinuously.positionofhourhand:30x°positionofminutehand:(x[x])×60×6°(x[x])×60×630x=±4522x24[x]=±3x=24[x]±322with[x]=0,1,2,...,11i.e.atfollowingtimes:(totally22possibilities)x=3220h8m11sx=21220h57m16sx=27221h12m38sx=45222h2m44sx=51222h19m5s......x=2432211h2m44sx=2612211h51m49s

Commented by otchereabdullai@gmail.com last updated on 17/Jun/23

I thank God my prof W is back

IthankGodmyprofWisback

Commented by mr W last updated on 17/Jun/23

Commented by mr W last updated on 17/Jun/23

Commented by mr W last updated on 17/Jun/23

Commented by mr W last updated on 17/Jun/23

Commented by Mingma last updated on 17/Jun/23

Genius solutions! perfect ��

Commented by otchereabdullai@gmail.com last updated on 14/Aug/23

Thanks a lot prof W

ThanksalotprofW

Commented by mr W last updated on 14/Aug/23

you are welcome!

youarewelcome!

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