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Mary works due north of home. Her husband Juan works due east. They leave for work at the same time. By the time Mary is 77 miles from​ home, the distance between them is one mile more than Juan​'s distance from home. How far from home is Juan?

Respuesta :

Answer:

The Juan's distance from home is 2964 miles.

Explanation:

Given that,

Distance = 77 miles

Let Juan's distance from home be x miles

.

Now, the distance between Juan and Mary = 1+x

Now since Mary heads north and Juan east

Using Pythagorean theorem

[tex]77^2+x^2=(1+x)^2[/tex]

[tex]5929+x^2=1+x^2+2x[/tex]

[tex]2x=5929-1[/tex]

[tex]x=\dfrac{5928}{2}[/tex]

[tex]x=2964\ miles[/tex]

Hence, The Juan's distance from home is 2964 miles.

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