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

Explanation:

Given: The number of times Tomiko runs around football field =
`3+(1)/(6)=(19)/(6)`

The number of times Brianna runs around football field =
`2+(2)/(3)=(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-(19)/(6)-(8)/(3)\\\\=(60-19-16)/(6)\\\\=(25)/(6)\\\\=4(1)/(6)`

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