Tram stop

The blue tram stops every 12 minutes, the red one 8 minutes. At 8 o'clock they left the stop together. How many times do they meet at a stop before 11 am?

Correct answer:

n =  7

Step-by-step explanation:

$$\begin{gathered} t=(11-8)\cdot 60=180\text{ min } \\ 12=2^2\cdot 3 \\ 8=2^3 \\ LCM(12,8)=2^3\cdot 3=24 \\ s=LCM(12,8)=24\text{ min } \\ {n}_1=t\mathrm{/}s=180\mathrm{/}24={\displaystyle \frac{15}{2}}=7\frac{1}{2}=7.5 \\ n=\lfloor n_1\rfloor =\lfloor 7.5\rfloor =7 \end{gathered}$$

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