A car is traveling at a steady speed. It travels 2 1/3 miles in 3 1/2 minutes. How far will it travel in 24 minutes? How far will it travel in 1 hour?

Respuesta :

Answer:

a) distance traveled is 16 miles.

b) distance traveled is 40 miles.

Step-by-step explanation:

Speed is a scalar quantity which describe the rate of distance moved with time.

i.e speed = [tex]\frac{distance}{time}[/tex]

Given that: distance = 2 1/3 miles = [tex]\frac{7}{3}[/tex] miles, time = 3 1/2 minutes = [tex]\frac{7}{2}[/tex] minutes.

Then;

speed = [tex]\frac{7}{3}[/tex] ÷ [tex]\frac{7}{2}[/tex]

          = [tex]\frac{7}{3}[/tex] x [tex]\frac{2}{7}[/tex]

          = [tex]\frac{2}{3}[/tex]

The car's steady speed is 0.67 miles per minute.

a) when the time is 24 minutes, the distance covered can be determine by:

distance = speed x time

              = [tex]\frac{2}{3}[/tex] x 24

              = 16

distance traveled is 16 miles.

b) When the time is 1 hour (60 minutes), the distance traveled can be determined by:

distance = speed x time

              = [tex]\frac{2}{3}[/tex] x 60

              = 40

distance traveled is 40 miles.

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