First, you need to put both equations in slope intercept form
Kyle: y=3x+50, because he runs 3 meters/second and he gets a 50 meter head start
Michael: y=4x
I think the answer would be 50 seconds
hope this helps
Answer:
50 seconds
Step-by-step explanation:
Let x be the distance ( in meters ) from kyle to the point where they meet.
Since,
[tex]Time =\frac{Distance}{Speed}[/tex]
For kyle,
Distance = x,
Speed = 3 m/s
So, time taken by Kyle = [tex]\frac{x}{3}[/tex]
Now, for Michael,
Distance = (x + 50) ( Because Kyle is 50 meters ahead of Michael )
Speed = 4 m/s
So, time taken by Michael = [tex]\frac{x+50}{4}[/tex]
When they meet each other,
[tex]\frac{x}{3}=\frac{x+50}{4}[/tex]
[tex]4x=3x+150[/tex]
[tex]x=150[/tex]
Hence, the time after which they meet = [tex]\frac{150}{3}[/tex] = 50 seconds
