Given:
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 x 2 × 3 × 5
62 = 2 × 31
LCM = 2 x 2 × 3 × 5 × 31 = 1860 seconds
Convert time into mins:
160 sec = 1860/60 mins = 31 min
Electronic devices will beep after every 31 minutes.
Hence, both devices will beep together again at 10:31 a.m. again.
