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Two persons walk towards each other on a road. It takes the first person 2 hours to walk the road, it takes the 2nd person 3 hours to walk the road.
When they meet, the first person walked 4 and 4/5 of a mile more than the 2nd person. How long is the road?
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Since their times to cover the entire distance are in the ratio = , it means that their rates are in reciprocal ratio = .
In turn, it means that going toward each other, they cover the distances, whose ratio is the same as the ratio of their speeds, i.e. .
So, if "d" is the total one way distance, then the first person covered of the distance, while the second covered of the distance.
Then from the condition, you have this equation
- = miles, or
= miles,
d = 24 miles. ANSWER
Solved.
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Notice that the solution by the tutor @htmentor is incorrect, since he incorrectly interprets the condition.