Question

Fran works due north of home. Her husband Ben works due east. They leave for work at the same time. By the time Fran is 7 miles from​ home, the distance between them is one mile more than Ben​'s distance from home. How far from home is Ben​?

Answer 1

Answer:24 m

Explanation:

Given

Distance of Fran from home is 7 miles

Distance between Ben and Fran is 1 mile more than the distance of ben from home

let distance of ben from home is x miles

therefore distance between ben and Fran is x+1 miles

using Pythagoras

$7^2+x^2=(x+1)^2$

$49+x^2=x^2+1+2x$

$48=2 x$

$x=24$