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  • The traffic lights at three different road crossings change after every 48 seconds,72 seconds and 108 seconds respectively. If they change simultaneously at 7 a.m at what time will they change simultaneously again ?

The traffic lights at three different road crossings change after every 48 seconds,72 seconds and 108 seconds respectively. If they change simultaneously at 7 a.m at what time will they change simultaneously again ?

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eginarrayl extGiven that,\ extTraffic lights are changing colour 48 s, 72 exts & 108 s.\ extIt means that,\ extFirst light blink at: 48 s, 2 imes48 s, 3 imes48 exts......... left[ extmultiple of 48 ight]\ extSecond light blink at :72 s, 2 imes72 s, 3 imes72 exts.......left[ extmultiple of 72 ight]\ extThird light blink at :108 s, 2 imes108 s, 3 imes108 exts... left[ extmultiple of 108 ight]\ extSo, we take a L.C.M of 48, 72 & 108\ L.C.M is 432 \ extSo, Light will be again blink at 7:00 hr +432 exts=7:07 hr 12 exts endarray

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Deependra Verma

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