SOLUTION: A runner covers 5 miles in 45 minutes. How far, running at the same rate, can the runner run in an hour?

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Question 686523: A runner covers 5 miles in 45 minutes. How far, running at the same rate, can the runner run in an hour?
Answer by josh_jordan(263) About Me  (Show Source):
You can put this solution on YOUR website!
To solve, we must set this word problem up in the form of an equation. Since the runner covers 5 miles per 45 mins, and we know that 60 min = 1 hour, we would set the equation up as such:
5+miles%2F45+min+=+x+miles%2F60+min =
5%2F45+=+x%2F60
Now, we can reduce the first fraction 5%2F45 to 1%2F9
So,
1%2F9+=+x%2F60
To solve for x, cross multiply:
9%2Ax+=+60%2A1 =
9x+=+60
Divide both sides of the equation by 9:
9x%2F9+=+60%2F9
Which gives us:
x+=+6.67
So, the runner can run approximately 6.67 miles in 1 hour.