Question

An electronic device makes a beep after every 60 seconds. Another device makes a beep after every 62 seconds. They beeped together at \(10 \mathrm{a} \cdot \mathrm{m}\). At what time will they beep together at the earliest?

Answer 1

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.
\(60=2 \times 2 \times 3 \times 5\) \(62=2 \times 31\) LCM \(=2 \times 2 \times 3 \times 5 \times 31=1860\) seconds
Convert time into min
\(160 \mathrm{sec}=\frac{1860}{60} \mathrm{mins}=31 \mathrm{~min}\)
electronic devices will beep after very 31 minutes.
hence, both device will together again beep at \(10: 31\) am again.