Question

A three-person relay race consists of ten times around a football field. If Tomiko runs three and one-sixth times and Brianna runs two and two-thirds times around the field, how many times around the field does the third person have to run to finish the race?

Answer 1

Four and one-sixth
............

Answer 2

Answer: 4 and 1-sixth times

Step-by-step explanation:

Given: The number of times Tomiko runs around football field = $3+\dfrac{1}{6}=\dfrac{19}{6}$

The number of times Brianna runs around football field = $2+\dfrac{2}{3}=\dfrac{8}{3}$

Total number of times, they had to run = 10

Then, the number of times the third person had to run will be :-

$10-\dfrac{19}{6}-\dfrac{8}{3}\\\\=\dfrac{60-19-16}{6}\\\\=\dfrac{25}{6}\\\\=4\dfrac{1}{6}$

Hence, the third person has to run 4 and 1-sixth times to finish the race.