We are given that 2 people, John and Bob, travel a distance of 4 miles and 2 miles respectively. To determine which of the two went faster, we need to find the ratio of distance per time for each individual.
For Jhon we have:
![\text{rate}=(distance)/(time)](https://img.qammunity.org/2023/formulas/mathematics/high-school/1annyw57abwoq3k57vmj1gpnwt59rd5iwz.png)
![\text{rate}=\frac{4\text{miles}}{1\text{hour}}=4\frac{\text{miles}}{\text{hour}}](https://img.qammunity.org/2023/formulas/mathematics/high-school/1c3o1eysrp3ysx4q8802m9c12i0am1abz3.png)
For bob we have:
![\text{rate}=\frac{2\text{mile}}{((1)/(2))\text{hours}}=4\frac{miles}{\text{hour}}](https://img.qammunity.org/2023/formulas/mathematics/high-school/j410admxwdvgt1fzt85ccs7qlhoa34lr8l.png)
Therefore, John and Bob had the same speed.