Three radio stations announce the weather forecast simultaneously at 11:00 A.M. If one of the stations announces the weather forecast every 2 hours, the second every 4 hours, and the third station every 5 hours, at what time will they announce the next weather forecast all at the same time?
Answers & Comments
Answer:
7:00 am
the time they will announce the next weather forecast all at the same time is 7:00 am
Step-by-step explanation:
supposed all radio stations starts at announcing at 11:00 am
given:
radio #1: announced every 2 hrs
radio #2: announced every 4 hrs
radio #3: announced every 5 hrs
since the we are looking for the time they will announce the next weather forecast all at the same time...
step 1: LCM of the hours given
the LCM of 2, 4 and 5 should be 20
(this refers where all the station with their respective given hours where they are scheduled to announce)
step 2: set 20 as the number of hours will be added to starting hour where all stations starts announcing at (11:00 am
11:00 am + 20 hrs. = 7:00 am
or
(for better understanding)
11:00 am + 12 hrs = 11:00 pm
11:00 pm + 8 hrs = 7:00 am
this solution was based on my understanding, correct me if I'm wrong or if i have misinterpreted the problem