Question

Zeke and Jay run a 220 yard dash, and jay wins the race by 10 yds. If Jay runs the race and 30 seconds What is the rate of each boy in yards per second? How long did it take Zeke to run the 220 yd dash ?

Answer 1

Jay's speed-7.333 yd/s

Zeke's speed- 7.0 yd/s

Zeke's time-31.43 seconds

Explanation:

-Speed is defined mathematically as distance over time.

-Given the distance as 220 yds and Jay's time as 30sec, her speed is:

`V_j=(d_J)/(t_J)\\\\=220/30\\\\=7.333 \ yds/s`

#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:

`v=d/t\\\\t=(d)/(v), d=210, v=7.333\\\\t=(210)/(7.333)\\\\t=28.636 \ seconds.`

#Zeke's speed for the race can now be calculated as:

`V_z={d_z}{t_z}\\\\=(210)/(30)\\\\=7.0 \ yds/s`

#Time it takes for Zeke to finish:

`t=(d)/(v), d=220, v=7.0\\\\t=(220)/(7)\\\\=31.43 \ seconds`

Hence, it takes Zeke 31.43 seconds to complete the dash.