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

Answer:

The appropriate answer is "72.8 m".

Explanation:

Let the distance be "x".

As per the question, we get

⇒ $T_{Mia}=T_{Brandi}$

or,

⇒ $\frac{x}{13} +\frac{x}{7}=\frac{\80}{10} +\frac{80}{10}$

By taking L.C.M, we get

⇒ $\frac{20x}{91}=16$

By applying cross-multiplication, we get

⇒ $20x=1440$

⇒     $x=\frac{1456}{20}$

⇒        $=72.8\ m$