Sprint to the finish the professional cyclist travels 380 meters in 20 seconds. At that rate how far does the cyclist travel in 3 seconds

Respuesta :

Answer:

57 meters

Step-by-step explanation:

we know that

Sprint to the finish the professional cyclist travels 380 meters in 20 seconds

so

using proportion

Find out how far does the cyclist travel in 3 seconds

Let

x -----> the distance in meters

[tex]\frac{380}{20}\frac{m}{sec}=\frac{x}{3}\frac{m}{sec}\\\\x=380(3)/20\\\\x=57\ m[/tex]

At that rate the cyclist travel in 3 seconds would have travelled 57 meters.

Speed is the ratio of the distance travelled to time taken. Speed is given by:

Speed = distance/time

Given that the professional cyclist travels 380 meters in 20 seconds, hence his speed is:

Speed = distance/time = 380 m / 20 s

Speed = 19 m/s

If he travels at this rate, at 3 seconds, the distance is:

Speed = distance / time

Distance = Speed * time

Distance = 19 m/s * 3 s

Distance = 57 m

Hence At that rate the cyclist travel in 3 seconds would have travelled 57 meters.

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