Question

In the latest meet the boys cross county team scored 55 points.If there were five runners on the team and each runner finished one after another. What places did they each come in?

Answer 1

Runner 1 = 9th place

Runner 2 = 10th place

Runner 3 = 11th place

Runner 4 = 12th place

Runner 5 = 13th place

Explanation:

Given that:

Number of runners = 5

Total points scored = 55

Finishing spot for each runner (they finished one after the other)

Hence,

x, (x + 1), (x + 2), (x + 3), (x + 4)

x + x + 1 + x + 2 + x + 3 + x + 4 = 55

5x + 10 = 55

5x = 55 - 10

5x = 45

x = 9

Hence,

Runner 1 = 9th place

Runner 2 = 10th place

Runner 3 = 11th place

Runner 4 = 12th place

Runner 5 = 13th place