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.

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(3)/(4)\\\\100-2x=(167)/(4)\\\\-2x=(167)/(4)-100\\\\-2x=(167-400)/(4)\\\\-2x=-(233)/(4)\\\\x=(233)/(4* 2)\\\\x=(233)/(8)\\\\x=29.125\ yard`

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