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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

Sagot :

Answer:

The appropriate answer is "72.8 m".

Explanation:

Let the distance be "x".

As per the question, we get

⇒ [tex]T_{Mia}=T_{Brandi}[/tex]

or,

⇒ [tex]\frac{x}{13} +\frac{x}{7}=\frac{\80}{10} +\frac{80}{10}[/tex]

By taking L.C.M, we get

⇒ [tex]\frac{20x}{91}=16[/tex]

By applying cross-multiplication, we get

⇒ [tex]20x=1440[/tex]

⇒     [tex]x=\frac{1456}{20}[/tex]

⇒        [tex]=72.8\ m[/tex]