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Zachary travels on a journey of 50 miles. He spends half of his time riding his horse and half of his time walking. When he rides his horse, he covers 9 miles every hour. When he walks, he covers 3 1⁄2 miles every hour. How much time does it take him to complete the journey?

Respuesta :

Answer:

The answer is "7.7 hour"

Step-by-step explanation:

Given values:

Total journey= 50 miles

journey cover by horse= 9 miles per hour

journey cover by walk = [tex]3\frac{1}{2}[/tex] miles per hour [tex]= \frac{7}{2} =3.5[/tex]

[tex]\ Total \ time = \frac{\ half \ of \ distance}{ \ half\ of\ the \ cover \ speed}[/tex]

[tex]\Rightarrow \frac{25}{9} +\frac{25}{\ 3.5}\\\\\Rightarrow \frac{87.5+225}{40.5}\\\\\Rightarrow \frac{312.5}{40.5}\\\\\Rightarrow \frac{3125}{405}\\\\\Rightarrow 7.7 hour[/tex]

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