Calculating Race Time and Length with Different Speeds and Rest Periods

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The discussion revolves around calculating the race time and length between a tortoise and a hare, where the tortoise runs at 10.0 cm/s and the hare at 100.0 cm/s but takes a 3-minute rest. Participants question the calculations regarding the hare's distance covered and the interpretation of the tortoise winning by 10 cm. Clarifications are sought on the use of specific values in the equations, particularly the significance of the 0.2 versus 0.1 meters in the context of the race outcome. The conversation highlights the importance of unit consistency and accurate interpretation of the problem's parameters. Overall, the discussion emphasizes the need for clear understanding in solving race-related time and distance problems.
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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.
 
That should be -0.1.
Units are missing.
 
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