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

Answer: the third person have to run
`4(1)/(2)` times to finish the race.

Explanation:

Since a race consists 10 times around a football field.

Number of times tomiko runs =
`3 (1)/(6)`

Number of times brianna runs =
`2(1)/(3)`

According to question,

`3(1)/(6)+2(1)/(3)+x= 10\\(19)/(6)+(7)/(3)+x =10\\(19+14)/(6)+x=10\\(33)/(6)+x=10\\x=10-(33)/(6)\\x= (60-33)/(6)\\x=(27)/(6)\\x=(9)/(2)`

∴ x=
`4(1)/(2)` times

So, the third person have to run
`4(1)/(2)` times to finish the race.