Question

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?

Answer 1

The Juan's distance from home is 2964 miles.

Step-by-step 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

`77^2+x^2=(1+x)^2`

`5929+x^2=1+x^2+2x`

`2x=5929-1`

`x=(5928)/(2)`

`x=2964\ miles`

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