The restaurant

The restaurant is 3/8 miles from the office. She makes the walk in 7 1/2 minutes. At the same rate, how long will it take her to walk the two miles from her home to her office?

Final Answer:

t₂ =  40 min

Step-by-step explanation:

$$\begin{gathered} t_1=7\frac{1}{2}=7+\frac{1}{2}=\frac{7\cdot 2+1}{2}=\frac{14+1}{2}=\frac{15}{2}=7.5\text{min} \\ {s}_1=\frac{3}{8}=0.375\text{mi} \\ {s}_2=2\text{mi} \\ r=s_2/s_1=2/\frac{3}{8}=2:\frac{3}{8}=2\cdot \frac{8}{3}=\frac{2\cdot 8}{3}=\frac{16}{3}\doteq 5.3333 \\ {t}_2=r\cdot t_1=\frac{16}{3}\cdot \frac{15}{2}=\frac{16\cdot 15}{3\cdot 2}=\frac{240}{6}=40\text{min} \end{gathered}$$

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