Answer:
Jay's speed-7.333 yd/s
Zeke's speed- 7.0 yd/s
Zeke's time-31.43 seconds
Step-by-step explanation:
-Speed is defined mathematically as distance over time.
-Given the distance as 220 yds and Jay's time as 30sec, her speed is:
[tex]V_j=\frac{d_J}{t_J}\\\\=220/30\\\\=7.333 \ yds/s[/tex]
#Given that Jay wins the race by 10yds, it means that Zeke was at 210 yds when Jay finished:
-Find Jay's time at d=210 yds:
[tex]v=d/t\\\\t=\frac{d}{v}, d=210, v=7.333\\\\t=\frac{210}{7.333}\\\\t=28.636 \ seconds.[/tex]
#Zeke's speed for the race can now be calculated as:
[tex]V_z={d_z}{t_z}\\\\=\frac{210}{30}\\\\=7.0 \ yds/s[/tex]
#Time it takes for Zeke to finish:
[tex]t=\frac{d}{v}, d=220, v=7.0\\\\t=\frac{220}{7}\\\\=31.43 \ seconds[/tex]
Hence, it takes Zeke 31.43 seconds to complete the dash.
