Respuesta :
Given that Jack biked for [tex]5 \frac{1}{3} [/tex] hours with an average speed of [tex]12 \frac{1}{2} [/tex] miles per hour.
The distance travelled by Jack is given by
[tex]d=speed\times time \\ \\ =12 \frac{1}{2}\times5 \frac{1}{3}= \frac{25}{2} \times \frac{16}{3} \\ \\ = \frac{200}{3} =66 \frac{2}{3} \ miles[/tex]
Given that Jim travelled exactly [tex]1 \frac{1}{5} [/tex] as far as Jack did, then the distance Jim travelled is given by
[tex]d=1 \frac{1}{5} \times66 \frac{2}{3} \\ \\ = \frac{6}{5} \times \frac{200}{3} =80[/tex]
Therefore, the length of Jim's journey is 80 miles.
The distance travelled by Jack is given by
[tex]d=speed\times time \\ \\ =12 \frac{1}{2}\times5 \frac{1}{3}= \frac{25}{2} \times \frac{16}{3} \\ \\ = \frac{200}{3} =66 \frac{2}{3} \ miles[/tex]
Given that Jim travelled exactly [tex]1 \frac{1}{5} [/tex] as far as Jack did, then the distance Jim travelled is given by
[tex]d=1 \frac{1}{5} \times66 \frac{2}{3} \\ \\ = \frac{6}{5} \times \frac{200}{3} =80[/tex]
Therefore, the length of Jim's journey is 80 miles.