One of the most important and conceptual question from real numbers in which we have given two electronic device and one device beeps after every 60 seconds and other one beeps after every 62 seconds. We have to find at what time will they beep together at the earliest if they already beep together at 10 a.m.
Kindly solve the above problem in detail
RS Aggarwal, Class 10, chapter 1B, question no 25
Beep Duration of first device =60 seconds
Beep Duration of Second device =62 seconds
To find the interval of beeping together , we need to find the LCM of 60 and 62 first.
60=2×2×3×5
62=2×31
LCM =2×2×3×5×31=1860seconds
Convert time into min
160sec=1860/60 mins =31 min
electronic devices will beep after very 31 minutes.
hence , both device will together again beep at 10:31 am again