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A tortoise can run with a speed of 0.14 m/s, and a hare can run 20 times as fast. In a race, they both start at the same time, but the hare stops to rest for 1.0 minutes. The tortoise wins by a shell (30 cm). (a) how long does the race take? S (b) what is the length of the race?

Respuesta :

speed of tortoise is given as v1 = 0.14 m/s

speed of hare is given as v2 = 20*0.14 = 2.8 m/s

now let say the total length of the path is "d"

so the total time taken by the tortoise to cover this

[tex]t = \frac{d}{0.14}[/tex]

now given that hare took rest for 1 min

so total time of run for hare is (t - 60)s

so the distance that hare covered is given by

[tex]d - 0.30 = 2.8 * (t - 60)[/tex]

now by above two equations

[tex]d - 0.30 = 2.8 * \frac{d}{0.14} - 168[/tex]

[tex]168 - 0.30 = (20 - 1)d[/tex]

[tex]d = 8.82 m[/tex]

and the time t is given by

[tex]t = \frac{8.82}{0.14}[/tex]

[tex]t = 63 s[/tex]

so part a)

t = 63 s

part b)

d = 8.82 m

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