Storm

So far, a storm has traveled 35 miles in 1/2 hour in a direction straight to the observer. If it is 5:00 PM, and the storm is 105 miles away from you, at what time will it reach you? Explain how you solved the problem.

Result

t = 6:30 hh:mm

Step-by-step explanation:

$$\begin{gathered} s_1=35\text{mi} \\ {t}_1=1/2=\frac{1}{2}=0.5\text{h} \\ v=s_1/t_1=35/0.5=70\text{mi/h} \\ s=105\text{mi} \\ {t}_2=s/v=105/70=\frac{3}{2}=1.5\text{h} \\ t=5.00+t_2=5.00+1.5=6.5=6:30\text{hh}:\text{mm} \end{gathered}$$

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