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Question Number 133772 by mathocean1 last updated on 24/Feb/21
Three devices A; B ;C shine like that:  A shines every 25 minutes  B shines every 30 minutes  C shines every 35 minutes.  The three devices shined simultaneous,  (at the same time) at 10 pm.  At which time will they shine simultaneous   for the first time after midnight?
ThreedevicesA;B;Cshinelikethat:Ashinesevery25minutesBshinesevery30minutesCshinesevery35minutes.Thethreedevicesshinedsimultaneous,(atthesametime)at10pm.Atwhichtimewilltheyshinesimultaneousforthefirsttimeaftermidnight?
Answered by TheSupreme last updated on 24/Feb/21
N=k_1 5^2 =k_2 6×5=k_3 7×5  N_(min) =mcm(5^2 ,3×2,7)/60=((5^2 ×3×2×7)/(3×2^2 ×5))=35/2=17.5h  10:00pm  27.30pm  3.30pm
N=k152=k26×5=k37×5Nmin=mcm(52,3×2,7)/60=52×3×2×73×22×5=35/2=17.5h10:00pm27.30pm3.30pm

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