Trams

Two trams started at the same time from the same place. One tram journey takes 30 minutes and the second 45 minutes to its final stop. How long will trams meet again?

Result

t =  90 min

Solution:

30=235 45=325 LCM(30,45)=2325=90  t=LCM(30,45)=90 min30=2 \cdot 3 \cdot 5 \ \\ 45=3^2 \cdot 5 \ \\ LCM(30, 45)=2 \cdot 3^2 \cdot 5=90 \ \\ \ \\ t=LCM(30, 45)=90 \ \text{min}



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