Finding total time of a running rabbit

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The discussion revolves around calculating the total time a rabbit spends running at two different speeds, given its total distance and average speed. The rabbit runs at +1.5 m/s, rests for 10 seconds, and then runs at +0.60 m/s, covering a total distance of 1200 m with an average speed of 0.80 m/s. The equation 1.5x + 0.6y = 1200(0.8) is introduced to relate the distances covered at each speed to their respective time intervals. The poster seeks clarification on how to derive the answers for the time spent running at each speed, specifically questioning the meaning of the variables "x" and "y." Understanding this equation is crucial for solving the problem accurately.
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Homework Statement


A rabbit runs in a straight line with a velocity of +1.5 m/s for a period of time, rests for 10s, and then runs again along the same line at +0.60 m/s for an unknown amount of time. The rabbit travels a total distance of 1200 m, and its average speed is 0.80 m/s. (a) What is the total time the rabbit spends running at 1.5 m/s? (b) How long does it spend running at 0.60 m/s?

Homework Equations


V = d/t
a = (v2-v1) /t
I don't know if there is any other formulas you could use for this question

The Attempt at a Solution



t = d/V
Total time = 1200 / 0.8 = 1500 sec-------------------------------------------
Answer for a: 340 sec
Answer for b: 1200 sec

I want to know how to get these answers
 
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1.5x + 0.6y = 1200(0.8)

Hopefully that helps. If you don't understand where I got that from or what to do from here, let me know.
 
what does that equation even mean? Are the "x" and "y" the time intervals?
 

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