the tortoise can run with a speed of 0.1m/s and the hare can run with a speed of 2m/s. They start their race at the same time, but the hare, feeling confident, stops along the way for a two minute nap, and the tortoise wins by the length of his shell,0.2m.

Question

How much time did the race take?
How long was the race?

Please answer right away! Been stuck on it for a long time

Answer 1

the time taken by the tortoise is t seconds
So, the time used by the hare for running is t-120 seconds

The tortoise ran 0.2m farther, so since distance = speed * time,

0.1t = 2(t-120)+0.2

Now just solve for t, and then you can get the distance.