Amy and Allison are both running toward the soccer ball during a game.

Amy and Allison are both running toward the soccer ball during a game.

 

Amy's path is represented by the parametric equations x(t)=42+2/3t,y(t)=8+1/6t, where t is on the interval [0,50] and t is measured in tenths of seconds. Allison's path is represented by the parametric equations x(t)=12+t,y(t)=5+1/4t, where t is on the interval [0,50] and t is measured in tenths of seconds.

 

Do the girls collide? If so, when do they collide?

• Amy and Allison do not collide.
• Amy and Allison collide at 3.6 seconds.
• Amy and Allison collide at 2.4 seconds.
• Amy and Allison collide at 4.8 seconds.