SOLUTION: Fred is a long distance runner. He runs 2 mph faster than his video-game playing neighbor Joe. If they each run 12 mi, Fred finishes 30 min ahead of Joe. Determine how fast each pe

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Question 1023200: Fred is a long distance runner. He runs 2 mph faster than his video-game playing neighbor Joe. If they each run 12 mi, Fred finishes 30 min ahead of Joe. Determine how fast each person runs.
Answer by ikleyn(52799)   (Show Source): You can put this solution on YOUR website!
.
Fred is a long distance runner. He runs 2 mph faster than his video-game playing neighbor Joe.
If they each run 12 mi, Fred finishes 30 min ahead of Joe. Determine how fast each person runs.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

Your equation is 

 = ,

where J is Joe's speed.

The first term is the time Fred spent running 12 miles distance, the second term is time Joe spent.

0.5 is 0.5 of an hour = 30 minutes.

To solve it, multiply both sides by 2*J*(J+2).
Then simplify and solve a quadratic equation.
Can you complete it yourself?


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