Refer to the diagram shown below.
The American football field is 100 yds long, 53 1/3 yards wide, and has 10-yard touchdown zones at each end of the field.
Let x = distance of the referee at the end of the quarter from the nearest goal.
The distance between the same yard lines on either side of the center line is
100 - 2x
This distance is the 41 3/4 yards that the referee walked. Therefore
100 - 2x = 41.75
-2x = 41.75 - 100 = -58.25
x = 29.125 yd (or 29 1/8 yd)
Answer:
The referee was 29 1/8 yards (or 29.125 yards) from the nearest goal.
