Question

. A referee was standing on a certain yard line as the first quarter ended. He walked 41 3/ 4 yards to a yard line with the same number as the one he had just left. How far was the referee from the nearest goal line?

Answer 1

Answer: The referee was 29.125 yards from the nearest goal line.

Step-by-step explanation:

Since we have given that

Length of line  = 100 yards

Let the x be the distance at the end of quarter nearest goal line .

According to question, He walked 41 3/ 4 yards to a yard line with the same number as the one he had just left.

So, it becomes,

$100-2x=41\dfrac{3}{4}\\\\100-2x=\dfrac{167}{4}\\\\-2x=\dfrac{167}{4}-100\\\\-2x=\dfrac{167-400}{4}\\\\-2x=-\dfrac{233}{4}\\\\x=\dfrac{233}{4\times 2}\\\\x=\dfrac{233}{8}\\\\x=29.125\ yard$

Hence, the referee was 29.125 yards from the nearest goal line.

Answer 2

100 yards minus 41 3/4 which is 58 1/4 divided by 2 which is 29 1/2