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Tom travels 60 miles per hour going to a neighboring city and 50 miles per hour coming back using the same road. He drove a total of 5 hours away and back. What is the distance from Tom's house to the city he visited?(round your answer to the nearest mile).
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Let $x$ be the distance traveled to the city, then the time taken is given by
distance / speed $=x / 60$
and the time to return is given by
distance / speed $=x / 50$
The total time to travel and return is 5 hours. Hence
$x / 60+x / 50=5$
Solve for $x$
$x=1500 / 11=136$ miles (rounded to the nearest mile)
by Platinum (130,878 points)

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