The average speed of the tortoise is [tex]\frac{4}{21}[/tex] kmph
Given that, A tortoise traveled [tex]\frac{1}{6}[/tex] kilometer in [tex]\frac{7}{8}[/tex] hour
To find: Average speed in kilometers per hour
The relation between speed distance and time is given as:
[tex]\text { Distance travelled }=\text { speed } \times \text { time taken }[/tex]
Here, distance travelled = [tex]\frac{1}{6}[/tex] kilometers and time taken = [tex]\frac{7}{8}[/tex] hours
Now, let us substitute the values in distance formula
[tex]\begin{array}{l}{\frac{1}{6} \mathrm{km}=\text { average speed } \times \frac{7}{8} \mathrm{h}} \\\\ {\text { Average speed }=\frac{1}{6} \times \frac{8}{7}} \\\\ {\text { Average speed }=\frac{1}{3} \times \frac{4}{7}=\frac{4}{21}}\end{array}[/tex]
Hence, the average speed of the tortoise is [tex]\frac{4}{21}[/tex] kmph
