In order to qualify for the finals in a racing event, a race car must achieve an average speed of 257 km/h on a track with a total length of 1660 m. Of a particular car covers the first half of the track at an average speed of 243 km/h, what minimum average speed must it have in the second half of the event in order to qualify

Respuesta :

Answer:272.711b km/h

Explanation:

Given

Average speed of car must be 257 km/h

and first half is covered by a speed of 243 km/h

and rest by, let say by v

average speed

[tex]V_{average}=\frac{total distance}{total time}[/tex]

[tex]257=\frac{1660}{t_1+t_2}[/tex]

Where [tex]t_1=\frac{830}{257}[/tex]

[tex]t_2=\frac{830}{v}[/tex]

[tex]257=\frac{1660}{\frac{830}{257}+\frac{830}{v}}[/tex]

[tex]\frac{1}{243}+\frac{1}{v}=\frac{2}{257}[/tex]

[tex]\frac{1}{v}=\frac{2}{257}-\frac{1}{243}[/tex]

v=272.711 km/h