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How do you find the time that an object travels given distance and constant speed?
In the classic 'Dumb and Dumber', Lloyd and Harry drive from Nebraska to Aspen on a scooter after Lloyd trades in their van, straight up. How long would it take to drive their scooter, traveling at 40 miles per hour, the 390 mile distance from middle Nebraska to Aspen Colorado?
Summary
- N- Nebraska
- A-Aspen
- d- distance
- s- speed
- hr- hours
- t- time
- total time is solved to be 9.75 hours

Notes
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- Constant speed means that you don't get faster, and you don't get slower
- Think d=s•t when you see constant speed
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- d- distance
- s- speed
- t- time
- Think of this with constant speed problems
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- d- distance
- s- speed
- t- time
- Here we've solved for time
-
- t- time
- Plug in the distance
- Plug in the speed
- Use your calculator to find the final answer
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- Our final answer is that the total time for the scooter-based trip is 9.75 hours
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- The area of this graph is the distance traveled!
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- The area under a speed vs. time graph tells you the distance traveled
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- The area under the speed vs. time graph is therefore 390 miles
- The area of this rectangle is just base multiplied by height
- The base is the time (t), and the height is the speed of 40 miles per hour
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- Solving the area equation for time gives us the same answer as we got from the algebraic equation in part a) of this problem