Question

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?

Answer 1

The answer is "7.7 hour"

Explanation:

Given values:

Total journey= 50 miles

journey cover by horse= 9 miles per hour

journey cover by walk =
`3(1)/(2)` miles per hour
`= (7)/(2) =3.5`

`\ Total \ time = (\ half \ of \ distance)/( \ half\ of\ the \ cover \ speed)`

`\Rightarrow (25)/(9) +(25)/(\ 3.5)\\\\\Rightarrow (87.5+225)/(40.5)\\\\\Rightarrow (312.5)/(40.5)\\\\\Rightarrow (3125)/(405)\\\\\Rightarrow 7.7 hour`