Answer:
[tex]\frac{10.2\text{ miles}}{\text{ hour}}[/tex]
Step-by-step explanation:
We are asked to find the speed of a biker, who biked 4 1/4 of a mile in 25 minutes.
To find average speed of the biker, we will divide total distance by total time taken.
[tex]4\frac{1}{4}\text{ miles}\div 25\text{ min}[/tex]
Convert mixed fraction into improper fraction:
[tex]4\frac{1}{4}\Rightarrow \frac{4*4+1}{4}=\frac{16+1}{4}=\frac{17}{4}[/tex]
[tex]\frac{17}{4}\text{ miles}\div \frac{25}{1}\text{ min}[/tex]
Convert to multiplication problem by flipping the 2nd fraction:
[tex]\frac{17}{4}\text{ miles}\times \frac{1}{25\text{ min}}[/tex]
[tex]\frac{17\text{ miles}}{100\text{ min}}[/tex]
Convert minutes to hour:
[tex]\frac{17\text{ miles}}{100\text{ min}}\times \frac{\text{60 min}}{\text{1 hour}}[/tex]
[tex]\frac{17\text{ miles}}{10}\times \frac{6}{\text{1 hour}}[/tex]
[tex]\frac{102\text{ miles}}{\text{10 hour}}[/tex]
[tex]\frac{51\text{ miles}}{\text{5 hour}}[/tex]
[tex]\frac{10.2\text{ miles}}{\text{ hour}}[/tex]
Therefore, the average speed of biker is 10.2 miles per hour.
