Tram stop

At the tram stop met tram No. 4 and no. 5 at 10 AM. Tram no. 4 runs every 5 minutes, tram No. 5 at an interval of 7 minutes. How many times will meet until 12 o'clock?

Correct answer:

n =  3

Step-by-step explanation:

t1=10.00 t2=12.00  t=t2t1=1210=2 h m=t min=t 60  min=2 60  min=120 min  T1=5 min T2=7 min  5 ...  prime number 7 ...  prime number LCM(5,7)=57=35  T=LCM(T1,T2)=LCM(5,7)=35 min  n0=m/T=120/35=724=3733.4286  n=n0=3.4286=3

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