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Sagot :
The correct answer is 369.2765m
Speed of tortoise = v_t= 16.3cm/s=0.163m/s
Speed of hare= v_h=220.2cm/s=2.202m/s
Rest time of hare is t_r=1.6min
Tortoise wins by distance of x = 108cm=1.08m
Consider that S is the length of a racetrack.
At the conclusion of the race, calculate the tortoise's distance travelled.
S=v_t×t
S=0.163m/s×t ______(1)
Here, t is the race's actual time.
Find out how long the hare spent racing.
t_h=t-t_r
t_h=t-1.6min×(60s/1min)
t_h=(t-2160)s
At the conclusion of the race, determine the hare's distance travelled.
S-x=v_h×t_h
S-1.08m=2.2×(t-2160)s
S=2.2×(t-2160)s+1.08m_____(2)
To determine the race time, substitute equation (1) for equation (2).
0.163m/s×t=S=2.2×(t-2160)s+1.08m
0.163t=2.26t-4752+1.08
4752-1.08=2.26t-0.163t
4750.92=2.097t
4750.92/2.097=t
2265.5=t
To determine the length of the race or the track, substitute the amount of time in equation (1).
S=0.163m/s×t
S=0.163×2265.5
S=369.2765m
To learn more about distance refer the link:
https://brainly.com/question/2437173
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