Ramon and justine are both watching brodcast both star at 7:00 a.M and ends at 9:00 a.M one one shows commercials every 17 minutes and 14 minutes. When will commercials show at the same time

Respuesta :

Answer:

1:58 minutes after the show

Step-by-step explanation:

Step one:;

given data

start time= 7:00 am

end time= 9:00 am

we are told that one broadcast shows commercial every 17minutes

and the other shows commercials every 14 minutes

now the time when they both sho commercial is given by the greates common multiple of the times 17 and 14

multiples of  17= 17,34,51,68,85,102,119,136,153,170,187,204,221,238

multiples of  14= 14,28,42,56,70,84,98,112,126,140,154,168,182,196,210,224,238

for the number above 238 is common to both

238minutes to hours= 3.96667

=3:58 minutes

this shows that commercials will show at the same time 1:58 minutes after the show

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