Rosa works due north of home. Her husband Juan works due east. They leave for work at the same time. By the time Rosa is 5 miles from home, the distance between them is one more mile than Juan's distance from home. How far from home is Juan?

Question

radar · Answer

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Pythagaroem

$$25+x ^{2}=(x+1)^{2}$$
$$25+x ^{2}=x ^{2}+2x+1$$
2x=24
x=12
Mr. Juan is 12 miles out.  (excuse spelling of Pyth...........