Question

WILL GIVE BRAINLIEST

Zeke is racing his little brother Niko. They are running a total of 30 yards and Zeke gives Niko a 12 yard head start. Zeke runs 2 yards every second but Niko only runs 1 yard every 2 seconds. If x represents the number of seconds they have been racing and y represents the distance from the start line then:

Fill out the table below for various distances that Zeke and Niko are from the start line at the given times

X (sec) Zeke Distance (yd) Niko Distance (yd)
0 0 12
2
6

Answer 1

Answer: Zeke will catch up with Niko at 16 yards from the start line, y = 16 yards.

Zeke will catch up Niko after 8 seconds, x = 8 seconds.

Step-by-step explanation: i) distance to be run = 30 yards

ii) Niko has a head start of 12 yards.

iii) speed of Zeke = 2 yards / second

iv) speed of Niko = 1 yard every 2 seconds = 0.5 yard / second

v) x represents the number of seconds they have been racing.

vi) y represents the distance from the start line.

vii) the time at which Zeke catches up with Niko will be given by

Therefore 2y - 24 = 0.5y 1.5 y = 24 y = 24 / 1.5 = 16 yards

Therefore x = 16 /2 = 8 seconds