A tight end can run 100 yds in 10 sec. A defensive end for the opposing team can run 100 yds in 8 sec. If the tight end is at his own 20 yd line and the defensive end is at his own 15 yd line, at what yard line will they meet?
they will meet at the 20 yard line.
How did you come up with that answer? That only seems likely if the player doesn't move at all.
HOW DO U TABLES,GRAPHS,MAPPING DIAGRAM?
To calculate the yard line at which the tight end and defensive end will meet, we need to determine the distance covered by each player in the same time.
First, let's find out how long it takes for the tight end and defensive end to meet:
The tight end takes 10 seconds to run 100 yards.
The defensive end takes 8 seconds to run 100 yards.
Now, we need to determine the relative distance each player covers in that time.
The tight end covers 100 - 20 = 80 yards from his own 20-yard line.
The defensive end covers 100 - 15 = 85 yards from his own 15-yard line.
To find out where they meet, we can assume that both players run at constant speeds and that their rates are constant. Therefore, the ratio of their speeds will be equal to the ratio of the distances they cover in the same time.
The ratio of their speeds is 8 seconds / 10 seconds = 4/5.
So, for every 4 yards the defensive end covers, the tight end covers 5 yards.
Using this information, we can set up the following equation:
80 yards (distance covered by the tight end) = (4/5) * x yards (distance covered by the defensive end)
To solve for x (the distance the defensive end covers), we can simplify the equation:
80 yards = (4/5) * x yards
Next, we can solve for x:
(4/5) * x yards = 80 yards
x yards = 80 yards * (5/4)
x yards = 100 yards
Therefore, they will meet at the 100-yard line.