Question

Riding the subway, Juanita noticed that she traveled 7 kilometers in 6 minutes,a. What is her speed?b. If she continues to ride for an additional 9 minutes, what is the total distance Juanita would have traveled?

Answer 1

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

`v=(S)/(t)`

Substitute the known values in the above expression as

`\begin{gathered} v=(7000)/(360) \\ =19.44\text{ m/s} \end{gathered}`

Hence, the speed of Juanita is v = 19.44 m/s

(b)

The formula for the total distance covered by Juanita is given as

`d=v(t+t_1)`

Substitute the known values in the above expression as

`\begin{gathered} d=(19.44)(360+540) \\ =17496\text{ m} \end{gathered}`

Hence, the total distance covered by Juanita is d = 17496 m