Given
[tex]\begin{gathered} Speed=20\frac{km}{h} \\ Time\text{ }taken=15\text{ }minutes \\ Initial\text{ }distance=2\frac{1}{4}km \end{gathered}[/tex]
To find:
The average speed of Julian.
Explanation:
It is given that,
[tex]\begin{gathered} Speed=20\frac{km}{h} \\ Time\text{ }taken=15\text{ }minutes \\ Initial\text{ }distance=2\frac{1}{4}km \end{gathered}[/tex]
That implies,
[tex]\begin{gathered} Distance\text{ }traveled=Speed\times Time \\ =20\frac{km}{h}\times15minutes \\ =20\frac{km}{h}\times15(\frac{1}{60})h \\ =20\frac{km}{h}\times\frac{1}{4}h \\ =5km \end{gathered}[/tex]
Therefore,
[tex]\begin{gathered} Average\text{ }speed=\frac{Final\text{ }distance-Initial\text{ }distance}{Time\text{ }taken} \\ =\frac{(5-2\frac{1}{4})km}{\frac{1}{4}h} \\ =\frac{5-\frac{9}{4}}{\frac{1}{4}}\frac{km}{h} \\ =\frac{\frac{20-9}{4}}{\frac{1}{4}}\frac{km}{h} \\ =11\frac{km}{h} \end{gathered}[/tex]
Hence, the average speed of Jean is 11 km/h.