Calculating Distance Traveled: Solving for the Unknown in a Multi-Unit Problem

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In summary, the distance driven is calculated by subtracting the starting mileage from the ending mileage. The type of vehicle can affect the mileage due to factors such as size, weight, and fuel efficiency. The mileage can be calculated for a specific time period by recording the starting and ending mileage and subtracting them. The accuracy of the mileage calculation depends on the accuracy of the recorded numbers. The mileage can also be used to calculate gas mileage by dividing the number of miles driven by the amount of gas used.
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s9d00ap
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My problem. Amanda took an 8 hour drive. The return trip home took 5 hours and was 21% faster. How many miles did she drive?
 
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There isn't enough information. Is this the whole problem?

Trip out:
\(\displaystyle D = v_1 t_1 = 8 v_1\)

Trip back:
\(\displaystyle D = v_2 t_2 = v_2 \left [ (1 - .21) t_1 \right ] = 6.32 v_2\)

We need some other relationship between \(\displaystyle v_1\) and \(\displaystyle v_2\).

-Dan
 
  • #3
You can see immediately that something is missing. Imagine you can find a solution $D$ for the distance. How would you known if this represents miles, kilometers, or some other unit ?
 

FAQ: Calculating Distance Traveled: Solving for the Unknown in a Multi-Unit Problem

How is the distance in miles calculated?

The distance in miles is typically calculated by using the formula: distance = speed x time. This formula takes into account the speed at which the person is driving and the amount of time they have been driving for.

Is the distance affected by the type of vehicle?

Yes, the type of vehicle can affect the distance driven. For example, a car may travel a different distance compared to a truck or a motorcycle due to factors such as fuel efficiency and engine size.

Can the distance be converted to other units of measurement?

Yes, the distance can be converted to other units of measurement such as kilometers or feet. This can be done by using conversion factors or online conversion tools.

How accurate is the distance calculated?

The accuracy of the distance calculated depends on the accuracy of the data used. Factors such as speedometer calibration, road conditions, and driving behavior can also affect the accuracy of the calculated distance.

Can the distance be estimated without using a formula?

Yes, the distance can be estimated by using landmarks or mile markers along the route. This method may not be as accurate as using a formula, but it can give a rough estimate of the distance driven.

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