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

Step-by-step 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`