Paloma can run the 100 meter dash in the 16 1/5 seconds Savannah’s best time is 19.8 seconds how much faster is Paloma than Savannah in the 100- meter dash

Respuesta :

Answer:

[tex]3\frac{3}{5}\ sec[/tex] or  [tex]3.6\ sec[/tex]

Step-by-step explanation:

we know that

To find out how much faster is Paloma than Savannah in the 100- meter dash, subtract the Paloma's time from the Savannah's time

so

[tex]19.8-16\frac{1}{5}[/tex]

step 1

Convert mixed number to an improper fraction

[tex]16\frac{1}{5}\ sec=\frac{16*5+1}{5}=\frac{81}{5}\ sec[/tex]

step 2

Convert decimal number in fraction number

[tex]19.8\ sec=\frac{198}{10}\ sec[/tex]

Simplify

[tex]\frac{99}{5}\ sec[/tex]

step 3

Substitute the values

[tex]19.8-16\frac{1}{5}=\frac{99}{5}-\frac{81}{5}=\frac{18}{5}\ sec[/tex]

Convert to mixed number

[tex]\frac{18}{5}\ sec=\frac{15}{5}+\frac{3}{5}=3\frac{3}{5}\ sec[/tex]

Convert to decimal number

[tex]\frac{18}{5}\ sec=3.6\ sec[/tex]