3 buses

Morning at 5:00 am, three buses started from one place. The first travel in five-minute intervals, the second at 10-minute intervals, and the third at 25-minute intervals. At what hour will the three buses again come from the same place?

Result

h = 5:50 hh:mm

Step-by-step explanation:

$$\begin{gathered} 5...\text{ prime number} \\ 10=2\cdot 5 \\ 25=5^2 \\ LCM(5,10,25)=2\cdot 5^2=50 \\ m=LCM(5,10,25)=50\text{min} \\ h=5+m/60=5+50/60=\frac{35}{6}=5.83333=5:50\text{hh}:\text{mm} \end{gathered}$$

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