Question

One way to ensure that the race ends up in a tie is to have the person who lost the original race run a shorter distance before turning around. Instead of 80.0 m, what should that distance be

Answer 1

The appropriate answer is "72.8 m".

Step-by-step explanation:

Let the distance be "x".

As per the question, we get

⇒
`T_(Mia)=T_(Brandi)`

or,

⇒
`(x)/(13) +(x)/(7)=(\80)/(10) +(80)/(10)`

By taking L.C.M, we get

⇒
`(20x)/(91)=16`

By applying cross-multiplication, we get

⇒
`20x=1440`

⇒
`x=(1456)/(20)`

⇒
`=72.8\ m`