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BaLLatris [955]
3 years ago
5

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​?
Physics
1 answer:
almond37 [142]3 years ago
3 0

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

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