Question

Julianne is using a biking app that compares his position to a simulated bike or traveling Julianne’s target speed. When Julianne is behind the simulated biker he has a negative position. I took a screenshot of the problem I am having difficulty with.

Answer 1

Given

`\begin{gathered} Speed=20(km)/(h) \\ Time\text{ }taken=15\text{ }minutes \\ Initial\text{ }distance=2(1)/(4)km \end{gathered}`

To find:

The average speed of Julian.

Step-by-step explanation:

It is given that,

`\begin{gathered} Speed=20(km)/(h) \\ Time\text{ }taken=15\text{ }minutes \\ Initial\text{ }distance=2(1)/(4)km \end{gathered}`

That implies,

`\begin{gathered} Distance\text{ }traveled=Speed* Time \\ =20(km)/(h)*15minutes \\ =20(km)/(h)*15((1)/(60))h \\ =20(km)/(h)*(1)/(4)h \\ =5km \end{gathered}`

Therefore,

`\begin{gathered} Average\text{ }speed=\frac{Final\text{ }distance-Initial\text{ }distance}{Time\text{ }taken} \\ =((5-2(1)/(4))km)/((1)/(4)h) \\ =(5-(9)/(4))/((1)/(4))(km)/(h) \\ =((20-9)/(4))/((1)/(4))(km)/(h) \\ =11(km)/(h) \end{gathered}`

Hence, the average speed of Jean is 11 km/h.