Fran

Fran works due north of home. Her husband

Alan

Alan works due east. They leave for work at the same time. By the time

Fran is

5 miles from home, the distance between them is one mile more than

Alan 's distance from home. How far from home is

Alan ?

Question

Mathematics

Adam Farley

30 January, 20:05

Fran

Fran works due north of home. Her husband

Alan

Alan works due east. They leave for work at the same time. By the time

Fran is

5 miles from home, the distance between them is one mile more than

Alan 's distance from home. How far from home is

Alan ?

+1

Answers (1)

Know the Answer?

Eliana · Answer 1

Let a represent Alan's distance from home at the time of interest. By the Pythagorean theorem,

... (a + 1) ^2 = a^2 + 5^2

... a^2 + 2a + 1 = a^2 + 25

... 2a = 24

... a = 12

Alan is 12 miles from home.

FranFran works due north of home. Her husbandAlanAlan works due east. They leave for work at the same time. By the timeFran is5 miles from home, the distance between them is one mile more thanAlan 's distance from home. How far from home isAlan ?

Fran

Fran works due north of home. Her husband

Alan

Alan works due east. They leave for work at the same time. By the time

Fran is

5 miles from home, the distance between them is one mile more than

Alan 's distance from home. How far from home is

Alan ?