Respuesta :

Answer:

Speed = 10.42 m/secs

Step-by-step explanation:

We have been given with:-

Distance = 100m

Time taken = 9[tex]\frac{3}{5}[/tex] secs

1) First, we need to convert the mixed number 9[tex]\frac{3}{5}[/tex] to an improper fraction.

Method to convert a mixed number to an improper fraction

[tex]a\frac{b}{c} = \frac{c*a+b}{c}[/tex]

Applying the above formula, we get

9[tex]\frac{3}{5}[/tex] = [tex]\frac{5*9+3}{5}[/tex]

= [tex]\frac{45+3}{5}[/tex]

= [tex]\frac{48}{5}[/tex]

2) Now we need to convert [tex]\frac{48}{5}[/tex] into a decimal by dividing 48 by 5.

We get time taken as 9.6 secs

3) We need to find the speed using the below formula:-

Speed = [tex]\frac{Distance}{Time taken}[/tex]

Plugging the values of Distance and Time taken into the formula, we get

Speed = [tex]\frac{100}{9.6}[/tex]

= 10.416 m/secs

4) Upon rounding it to the nearest hundredth, we get

Speed = 10.42 m/secs

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