A tortoise can run with a speed of 0.15 m/s, and a hare can run 20 times as fast

Question

A tortoise can run with a speed of 0.15 m/s, and a hare can run 20 times as fast. Ina race, they both start at the same time, but the hare stops torest for 4.0 minutes. The tortoisewins by a shell (40 cm). How long does the race take in seconds? What is the length of the race in meters? A tortoise can run with a speed of 0.15 m/s, and a hare can run 20 times as fast. Ina race, they both start at the same time, but the hare stops torest for 4.0 minutes. The tortoisewins by a shell (40 cm). How long does the race take in seconds? What is the length of the race in meters?

Explanation / Answer

Let t is the time of racing, S is the distance, v1 is the velocityof the tortoise and v2 is of the hare. S=t*v1 S-40cm=(t-4min)*v2 so S=0,15t S-0,4=(t-240)*20*0,15 S=0,4+3t-720 = 0,15t so t=(720-40)/(3-0,15)=367,56(s) so S=tv1=55,14(m)

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