SOLUTION: Ben, who is a long distance runner, runs at an average velocity of 8 miles per hour. Two hours after Ben leaves your house, you leave in your car and follow the same route at an av

Question 743448: Ben, who is a long distance runner, runs at an average velocity of 8 miles per hour. Two hours after Ben leaves your house, you leave in your car and follow the same route at an average velocity of 40 miles per hour. How long will it be before you catch up to Tanya? (Be sure to show both parametric equations in the solution to your problem.) If you are able to do so, use a simulation of the two motions using your graphing calculator to verify your answer. Copy and paste the screen capture into your digital tablet image file. (If you are not able to include the simulation, it is ok, but you need to give this a try.)
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Ben, who is a long distance runner, runs at an average velocity of 8 miles per hour. Two hours after Ben leaves your house, you leave in your car and follow the same route at an average velocity of 40 miles per hour. How long will it be before you catch up to Tanya? (Be sure to show both parametric equations in the solution to your problem.) If you are able to do so, use a simulation of the two motions using your graphing calculator to verify your answer. Copy and paste the screen capture into your digital tablet image file. (If you are not able to include the simulation, it is ok, but you need to give this a try.)
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In 2 hours, he's 16 miles away (2*8)
Your speed relative to him is 32 mi/hr (40 - 8)
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16/32 = 1/2 hour
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I don't think you need to make this a doctoral thesis.

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