cyrus226
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A car travels along a clear 10.0 km section of motorway in 6.0 minutes. It then drives through 3.0 km of roadwork in 3.0 minutes. Calculate the average speed

Respuesta :

  • 6min=1/10h=0.1h
  • 3min=1/20h=0.05h

[tex]\\ \bull\tt\dashrightarrow Avg\:Speed=\dfrac{Total\:Displacement}{Total\:Time}[/tex]

[tex]\\ \bull\tt\dashrightarrow Avg\:Speed=\dfrac{10+3}{0.1+0.05}[/tex]

[tex]\\ \bull\tt\dashrightarrow Avg\:Speed=\dfrac{13}{0.15}[/tex]

[tex]\\ \bull\tt\dashrightarrow Avg\:Speed=86.6km/h[/tex]

The average speed of the car traveling along the clear section of motorway and roadwork is 86.65km/h.

Speed

Speed is simply referred to as the distance traveled per unit of time.

It is expressed as;

S = total distance ÷ total time elapsed

Given the data in the question;

  • Distance along clear motorway dc = 10km = 10000m
  • Time elapsed along clear motorway; tc = 6.0min = 360s
  • Distance along roadwork dr = 3km = 3000m
  • Time elapsed along roadwork tr = 3.0min = 180s

To determine the average speed of the car, we substitute our given values into the expression above.

S = total distance ÷ total time elapsed

S = (dc + dr) ÷ ( tc + tr )

S = ( 10000m + 3000m ) ÷ ( 360s + 180s )

S = 13000m ÷ 540s

S = 24.07m/s

S = 86.65km/h

Therefore, the average speed of the car traveling along the clear section of motorway and roadwork is 86.65km/h.

Learn more about average speed here: https://brainly.com/question/9834403