SOLUTION: mary works due north from home.her husband ben works due east.they leave from work at the same time. by the time mary is 5 miles from home the distance between them is one mile mo

Question 362893: mary works due north from home.her husband ben works due east.they leave from work at the same time. by the time mary is 5 miles from home the distance between them is one mile more than ben distance from home. how far is ben? __ miles ??
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
let Ben be x miles from home
then they will be x+1 miles away when Mary is 5 miles from home.
Since they are travelling east and north they form right triangle
Pythagoras theorem
..
(x+1)^2=x^2+5^2
x^2+2x+1=x^2+25
2x=24
x= 12 miles
ben is 12 miles from home
...
m.ananth@hotmail.ca
RELATED QUESTIONS
Mary works due north of home. Her husband Juan works due east. They leave for work at... (answered by oberobic)

Mary works due north of home. Her Husband Juan works due east. They leave for work at the (answered by mananth)

Mary works due north of home. Her husband works due east. They leave for work at the... (answered by Theo)

Mary works due north of home. her husband juan works due east of home.they leave for work (answered by cleomenius)

Fran works due north of her home. Her husband Ben works due east. They leave work at the... (answered by solver91311)

fran works due north of home her husband ben works due east they leave for work at the... (answered by ankor@dixie-net.com)

Jane works due north of her home. Her husband Juan works due east. They leave for work... (answered by lwsshak3)

Stacy works due north of home. Her husband, Sam works due east. They leave for work at... (answered by ankor@dixie-net.com)

terri works due north of home. her husband denny works due east . they leave for work at... (answered by jorel1380)