Given data
*The given distance is S = 7 km = 7000 m
*The given time is t = 6 minutes = (6 × 60) = 360 s
*The additional given time is t_1 = 9 minutes = (9 × 60) s = 540 s
(a)
The formula for the speed is given as
[tex]v=\frac{S}{t}[/tex]Substitute the known values in the above expression as
[tex]\begin{gathered} v=\frac{7000}{360} \\ =19.44\text{ m/s} \end{gathered}[/tex]Hence, the speed of Juanita is v = 19.44 m/s
(b)
The formula for the total distance covered by Juanita is given as
[tex]d=v(t+t_1)[/tex]Substitute the known values in the above expression as
[tex]\begin{gathered} d=(19.44)(360+540) \\ =17496\text{ m} \end{gathered}[/tex]Hence, the total distance covered by Juanita is d = 17496 m