Final answer:
The question asks for the distance between two consecutive marbles on a line. With 25 marbles on a 30-meter line and no marbles at the ends, we determine there are 24 gaps and divide 30 meters by 24 to find that each gap measures 1.25 meters.
Step-by-step explanation:
The student's question involves finding the distance between two consecutive marbles placed on a line. Since there are 25 marbles placed on a 30-meter line with equal distances between them, but no marble at either end, we need to find the number of gaps between the marbles to determine the distance between each pair of marbles.
Step-by-Step Explanation
First, note that if there are 25 marbles, there will be 25-1, which equals 24 gaps between them.
Knowing the total length of the line is 30 meters, we divide this distance by the number of gaps (24) to find the distance between two consecutive marbles.
So, the calculation is 30 meters / 24 gaps = 1.25 meters.
Therefore, the distance between two consecutive marbles is 1.25 meters.