Answer:
Hence, it will take 9 seconds for kirk to run 63+9=72 yards and catch upto Max.
Step-by-step explanation:
Let 'y' represents the time Max and Kirk took to meet.
Let the distance between the destination where they will meet from the place where Max is be: x yards
So the distance of destination from initial position of kirk is x+9 yards ( As Max is given a head start of 9 yards)
- As speed of Max is 7 yards per sec.
And [tex]speed=\dfrac{distance}{time}[/tex]
Hence,
[tex]7=\dfrac{x}{y}[/tex]
[tex]7y=x\\\\-x+7y=0-------(1)[/tex]
- also speed of kirk is 8 yards per second.
By the similar definition of speed we have:
[tex]8=\dfrac{x+9}{y}\\\\8y=x+9\\\\-x+8y=9--------(2)[/tex]
Hence (1) and (2) are the required system of equation.
So on solving the system of equations by elimination method we have:
y=9 and x=63.
Hence, it will take 9 seconds for kirk to run 63+9=72 yards and catch upto Max.
