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 $4\dfrac{3}{4}$ 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 $4\dfrac{3}{4}$ laps = $4\dfrac{3}{4}\times 400$ m

                                               = $\dfrac{19}{4}\times 400$ 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:

$Speed=\dfrac{Distance}{Time}$

$Speed=\dfrac{1900}{225}$

$Speed\approx 8.44$

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