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?

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

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