Answer:
t = 66.7 s
Explanation:
Given that,
Speed of a hare, v = 15 m/s
Speed of a turbocharged tortoise, v' = 3 m/s
The hare in a 250 meter race
Let the Hare takes time t. It can be calculated as follows :
![t=\dfrac{250}{15}=16.67\ s](https://tex.z-dn.net/?f=t%3D%5Cdfrac%7B250%7D%7B15%7D%3D16.67%5C%20s)
Let a turbocharged tortoise takes t'. It can be calulated as follows :
![t'=\dfrac{250}{3}= 83.33\ s](https://tex.z-dn.net/?f=t%27%3D%5Cdfrac%7B250%7D%7B3%7D%3D%2083.33%5C%20s)
To tie the race, required time is given by :
![\Delta t = t'-t\\\\=83.33-16.67\\\\=66.66\ s\\\\\approx 66.7\ s](https://tex.z-dn.net/?f=%5CDelta%20t%20%3D%20t%27-t%5C%5C%5C%5C%3D83.33-16.67%5C%5C%5C%5C%3D66.66%5C%20s%5C%5C%5C%5C%5Capprox%2066.7%5C%20s)
Hence, the correct option is (b) i.e. 66.7 seconds.