A person jogs 1/7 of a mile in 1/42 of an hour. What is the persons speed per hour?

[tex]\bf \begin{array}{ccll} miles&hour\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ \frac{1}{7}&\frac{1}{42}\\\\ m&1 \end{array}\implies \cfrac{\frac{1}{7}}{m}=\cfrac{\frac{1}{42}}{1}\implies \cfrac{1}{7m}=\cfrac{1}{42}\implies \cfrac{1\cdot 42}{7}=m \\\\\\ 6=m\qquad \qquad \qquad \qquad \qquad \cfrac{6m}{1h}\implies 6\frac{m}{h}[/tex]