Atortoise and a hare engage in a race. a tortoise can run with a speed of 0.15 m/s. a hare can run 25 times as fast as the tortoise. in the race, they start at the same time; however, the hare being very proud of his much higher speed stops for a nap for 5.0 minutes. the tortoise wins the race by 35 cm. (a) what is the length of the race? (b) how long does the race take?

Explanation:

The speed of hare = .15 x 25 = 3.75 m /s . Let tortoise took t second to complete the race .

Distance traveled by it = .15 t

Distance traveled by hare = .15 t - .35 m

Time taken by hare to complete this distance

=  t - 5 x 60 s

Speed of hare

= Distance / time

( .15t-.35 ) / t - 300 , so

t = 312.40

= 5 minutes 12.4 seconds

Distance of race

312.4 x speed of tortoise

= 312.4 x .15

= 46.85 m

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