Question

In cross country, the team score is determined by the place each individual runner finishes. (For example, 1st place is one point, 16th place is 16 points, etc.) In their latest meet, the boys cross-country team scored 55 points. If there were five runners on the team and each runner finished one after another, what places did they come on? Explain your reasoning and support your answer. *

Answer 1

Kindly check explanation

Explanation:

Given that there were five rummers in the team;

Each runner finished one after the other

Total. Points scored =. 55

Let the positions of each runner be :

1sr runner = p

2nd runner =.p + 1

3rd runner =.p + 2

4th runner =.p + 3

5th runner =.p + 4

(1st + 2nd + 3rd + 4th +. 5th) runner = 55

(p + p + 1 + p + 2 + p + 3 + p + 4) = 55

5p + 10 = 55

5p = 55 - 10

5p = 45

p = 9

Hence,

1st runner = 9th

2nd runner = 9 + 1 = 10th

3rd runner = 9 + 2 = 11th

4th runner = 9 + 3 = 12th

5th runner = 9+ 4 = 13th