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What is the distance from Tom's house to the city he visited?(round your answer to the nearest mile).

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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).
in Mathematics by Platinum (102k points) | 479 views

1 Answer

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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 (102k points)

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