Respuesta :
Answer:
[tex]\frac{2}{5}[/tex]th part of the field is covered in the second sprint.
Step-by-step explanation:
A football player is running the length of a 100 yard long football field.
Let player sprints x yards with the speed = 2 yards per second.
So time taken to cover x yards player will take time = [tex]\frac{x}{2}[/tex] seconds
Now rest distance (100 - x) yards when covered with the speed of 4 yards per second, so time taken to cover this distance = [tex]\frac{Distance}{Speed}[/tex]
= [tex]\frac{100-x}{4}[/tex] seconds
Now total time taken by the player can be represented by the equation
[tex]\frac{x}{2}+\frac{100-x}{4}=40[/tex]
Now we can solve this equation for the value of x.
[tex]\frac{2x+100-x}{4}=40[/tex]
x + 100 = 40×4
x + 100 = 160
x = 160 - 100 = 60 yards
And length of the second part will be = 100 - 60 = 40 yards
Now the fraction of the field covered by the player in second sprint will be
= [tex]\frac{40}{100}[/tex]
= [tex]\frac{2}{5}[/tex] or 40%
Therefore, [tex]\frac{2}{5}[/tex]th part of the field was covered in second sprint.
