Answer:
8:16 p.m.
Step-by-step explanation:
You have to find LCM(a,b), where a=48 seconds and b=95 seconds (2 minutes 15 seconds).
1.
[tex]48=2\cdot 24=2\cdot 2\cdot 12=2\cdot 2\cdot 2\cdot 6=2\cdot 2\cdot 2\cdot 2\cdot 3=2^4\cdot 3.[/tex]
2.
[tex]95=5\cdot 19.[/tex]
3.
[tex]LCM(48,95)=2^4\cdot 3\cdot 5\cdot 19=4560\text{ seconds }=76\text{ minutes }=1\text{ hour }16 \text{ minutes. }[/tex]
If they rang together at 7 p.m, then the next time that the timers will ring together will be after 1 hour 16 minutes that is 8:16 p.m.
