Question

100m In 9 3/5 seconds

Answer 1

Speed = 10.42 m/secs

Explanation:

We have been given with:-

Distance = 100m

Time taken = 9
`(3)/(5)` secs

1) First, we need to convert the mixed number 9
`(3)/(5)` to an improper fraction.

Method to convert a mixed number to an improper fraction

`a(b)/(c) = (c*a+b)/(c)`

Applying the above formula, we get

9
`(3)/(5)` =
`(5*9+3)/(5)`

=
`(45+3)/(5)`

=
`(48)/(5)`

2) Now we need to convert
`(48)/(5)` 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 =
`(Distance)/(Time taken)`

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

Speed =
`(100)/(9.6)`

= 10.416 m/secs

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

Speed = 10.42 m/secs