3 lights are switched on at an interval of 54,48 and 36 sec resp. EACH light IS KEPT ON for 3 seconds after which it is switched off. The lights are switched on simultaneously at 5:00 a.m. How many times will they be switched on together b/w 6-7 a.m?
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8 times lights will be switched on together b/w 6-7 a.m
Step-by-step explanation:
3 lights are switched on at an interval of 54,48 and 36 sec respectively
54 = 2 * 3 * 3 * 3
48 = 2 * 2 * 2 * 2 * 3
36 = 2 * 2 * 3 * 3
LCM = 2 * 2 * 2 * 2 * 3 * 3 * 3 = 432 secs
The lights are switched on simultaneously at 5:00 a.m.
3,888 - 3600 = 288 sec = 4 min 48 secs
=> Lights will switch on at 6:04:48
Light will last switch on together at 6 : 55 : 12
8 times lights will be switched on together b/w 6-7 a.m
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