Question

HELP PLEASE!!!!!! Find the speed of an athlete who makes 4and3/4 laps in 3mins45 seconds on a 400m field in m/s​

Answer 1

Given:

An athlete who makes
`4(3)/(4)` laps in 3 mins 45 seconds on a 400m field.

To find:

The speed of the athlete in m/s.

Solution:

We know that,

Distance covered in 1 lap = 400 m

Distance covered in
`4(3)/(4)` laps =
`4(3)/(4)* 400` m

=
`(19)/(4)* 400` m

=
`1900` m

We know that,

1 minute = 60 seconds

3 minutes = 180 seconds

3 minutes 45 second = 180 + 45 seconds

= 225 second

The speed of the athlete is:

`Speed=(Distance)/(Time)`

`Speed=(1900)/(225)`

`Speed\approx 8.44`

Therefore, the speed of the athlete is about 8.44 m/s.