Question

A hare can run at a rate of 15 m/s, while a turbocharged tortoise can now crawl at a rate of 3 m/s, how much of a head-start (time-wise) does the tortoise need in order to tie the hare in a 250 meter race?

A.
16.7 seconds

B.
66.7 seconds

C.
83.3 seconds

D.
100 seconds

Answer 1

t = 66.7 s

Step-by-step 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=(250)/(15)=16.67\ s`

Let a turbocharged tortoise takes t'. It can be calulated as follows :

`t'=(250)/(3)= 83.33\ s`

To tie the race, required time is given by :

`\Delta t = t'-t\\\\=83.33-16.67\\\\=66.66\ s\\\\\approx 66.7\ s`

Hence, the correct option is (b) i.e. 66.7 seconds.