SOLUTION: Herman is traveling 125 miles from his house to the beach by car. Herman plans to stop for lunch when the ratio of the distance he has traveled to the distance he still has to tr

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Question 1165892: Herman is traveling 125 miles from his house to the beach by car. Herman plans to
stop for lunch when the ratio of the distance he has traveled to the distance he still has to
travel is 2:3. What distance will Herman have traveled when he stops for lunch?
Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.

Let x be the distance under the question.


It means that he just traveled x miles and 125-x miles left to travel.


From the condition, you have this proportion


    x%2F%28125-x%29 = 2%2F3.


From the proportion


    3x = 2*(125-x),

    3x = 250 - 2x

    3x + 2x = 250

    5x      = 250

     x      = 250/5 = 50.


ANSWER.  The distance Herman have traveled when he stops for lunch is 50 miles.

Solved.



Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Herman is traveling 125 miles from his house to the beach by car. Herman plans to stop for lunch when the ratio of the distance he has traveled to the distance he still has to travel is 2:3. What distance will Herman have traveled when he stops for lunch?
Distance traveled before stopping for lunch: