Question

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

Answer 1

`3(3)/(5)\ sec` or
`3.6\ sec`

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

`19.8-16(1)/(5)`

step 1

Convert mixed number to an improper fraction

`16(1)/(5)\ sec=(16*5+1)/(5)=(81)/(5)\ sec`

step 2

Convert decimal number in fraction number

`19.8\ sec=(198)/(10)\ sec`

Simplify

`(99)/(5)\ sec`

step 3

Substitute the values

`19.8-16(1)/(5)=(99)/(5)-(81)/(5)=(18)/(5)\ sec`

Convert to mixed number

`(18)/(5)\ sec=(15)/(5)+(3)/(5)=3(3)/(5)\ sec`

Convert to decimal number

`(18)/(5)\ sec=3.6\ sec`