Question

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

Answer 1

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

Answer 2

Answer:

His speed is 6 miles per hour.

Step-by-step explanation:

Given,

The total distance covered by the person = $\frac{1}{7}$ a miles,

Time taken by him = $\frac{1}{42}$ an hour,

We know that,

$Speed = \frac{Distance}{Time}$

Hence, the speed of the person = $\frac{1/7}{1/42}$

$=\frac{42}{7}$

$=6\text{ miles per hour}$