Hikers Meeting Time Route

A tourist would cover the route from Skalnate Pleso to Hrebienok at a constant speed in 2 hours. His friend would walk the same route from Hrebienk to Skalnaté Pleso in 3 hours. When will they meet if they both go hiking at 9:00?

Result

t = 10:12 hh:mm

Step-by-step explanation:

$$\begin{gathered} s=2\cdot v_1 \\ s=3\cdot v_2 \\ s/2\cdot (t-9.00)+s/3\cdot (t-9.00)=s \\ 1/2\cdot (t-9.00)+1/3\cdot (t-9.00)=1 \\ 5t=51 \\ t=\frac{51}{5}=10.2 \\ t=\frac{51}{5}=10.2=10:12\text{hh}:\text{mm} \end{gathered}$$

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