Finding total time of a running rabbit

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SUMMARY

The discussion centers on calculating the total time a rabbit spends running at two different speeds, +1.5 m/s and +0.60 m/s, while covering a total distance of 1200 m with an average speed of 0.80 m/s. The total time calculated for the rabbit's movement is 1500 seconds, with specific running times of 340 seconds at +1.5 m/s and 1200 seconds at +0.60 m/s. The equation 1.5x + 0.6y = 1200(0.8) is derived from the relationship between distance, speed, and time, where 'x' and 'y' represent the time intervals for each speed.

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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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