Question

# An electronic device makes a beep after every 60 seconds. Another device makes a beep after 62 seconds. They beeped together at 10 a.m. At what time will they beep together at the earliest?

Solution

## Beep duration of first device = 60 seconds Beep duration of second device = 62 seconds ∴ Interval of beeping together = LCM (60, 62)  Prime factorisation: 60 =  62 =  ∴ LCM =  seconds = $\frac{1860}{60}$ = 31 min Hence, they will beep together again at 10 : 31 a.m.MathematicsRS Aggarwal (2015)Standard X

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