SOLUTION: Sam lives 45 miles due West of where he works. Everyday he drives on the highway at 65 mph. Jim works in the same building, and lives 30 miles due East, but is only able to drive 4

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Sam lives 45 miles due West of where he works. Everyday he drives on the highway at 65 mph. Jim works in the same building, and lives 30 miles due East, but is only able to drive 4      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 884036: Sam lives 45 miles due West of where he works. Everyday he drives on the highway at 65 mph. Jim works in the same building, and lives 30 miles due East, but is only able to drive 40 mph. If they do not stop at the building where they work and just kept on driving, after how much time would they pass each other on the road? Round to the nearest THOUSANDTH of an hour.
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Taking the three locations described as colinear, Sam and Jim live 75 miles apart.

Let t = quantity of time until they reach the same spot driving toward eachother.
The sum of their distances traveled would be 75 miles at that time.

65t%2B40t=75
t=75%2F105
highlight%28t=0.714%29 of an hour, which is 43 minutes.

More exactly but not practical, 42 minutes 51 seconds.