Question

This is algebra 1 (solve a system of equation using any method: word problems)

Answer 1

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 $speed=\dfrac{distance}{time}$

Hence,

$7=\dfrac{x}{y}$

$7y=x\\\\-x+7y=0-------(1)$

• also speed of kirk is 8 yards per second.

         By the similar definition of speed we have:

         $8=\dfrac{x+9}{y}\\\\8y=x+9\\\\-x+8y=9--------(2)$

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.