Calculating Race Time and Length with Different Speeds and Rest Periods

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Optikspik
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Homework Statement


A tortoise can run with a speed of 10.0 cm/s, and a hare can run exactly 10 times as fast. In a race, they both start at the same time, but the hare stops to rest for 3.00 min. The tortoise wins by 10 cm.

(a) How long does the race take?

(b) What is the length of the race?

3. The Attempt at a Solution


I know how to solve it
53RTkPK.png


However in the solve sheet it says:

6mvbx4T.png


Where does the 0,2 come from? isn't it 0,1 meters when they cross the line. OR is it something about "the second before"
 
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The right hand side says how far the hare ran in the total time of the race, which is t_tortoise. It should be assume that if the tortoise won by 10cm, that the hare completed all but 10cm of the race in that time. I am inclined to agree with your interpretation.