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A person jogs 4.0 km in 32 minutes , then 2.0km in 22 minutes and finally 1.0km in 16 minutes . What is the joggers average speed in km per minute?

Respuesta :

Average speed is defined as ratio of total distance covered and  total time

now we will have

[tex]d_1 = 4 km[/tex]

[tex]t_1 = 32 min[/tex]

[tex]d_2 = 2 km[/tex]

[tex]t_2 = 22 min[/tex]

[tex]d_3 = 1 km[/tex]

[tex]t_3 = 16 min[/tex]

now total distance moved is

[tex]d = d_1 + d_2 + d_3[/tex]

[tex]d = 4 + 2 + 1 = 7 km[/tex]

total time is given as

[tex]t = 32 min + 22 min + 16 min[/tex]

[tex]t = 70 min[/tex]

now average speed is given as

[tex]v_{avg} = \frac{d}{t}[/tex]

[tex]v_{avg} = \frac{7}{70} = 0.1 km/min[/tex]

so its average speed is 0.1 km per minute

aachen

Answer:

[tex]0.1 \ km/min[/tex]

Explanation:

We know speed , s is given by [tex]s=\dfrac{distance}{time}.[/tex]

NOW,

Average speed , S is given by:

[tex]S=\dfrac{total \ distance\ covered}{total\ time \ taken }[/tex].   .....eqn 1.

Total distance covered , [tex]D=4+2+1 \ km=7 \ km[/tex].

Total time taken, [tex]T=32+22+16\ min=70 \ min.[/tex]

Putting these values in equation 1.

We get,

[tex]S=\dfrac{7}{70} \ km/min=0.1\ km/min.[/tex]