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Johnny your friend claims that the green trail is 10 miles longer than the pink Trail. what calculation error might Johnny have made ? what is correct comparison of the length of the pink trail to the length of the green trail ?

Johnny your friend claims that the green trail is 10 miles longer than the pink Trail-example-1
User Tim Hunter
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2 Answers

5 votes

Final answer:

Johnny may have estimated the length of the green trail instead of accurately measuring it, leading to a potential error. Calculations and unit conversions must be carefully done to ensure an accurate comparison of the lengths of the pink and green trails.

Step-by-step explanation:

When Johnny claims that the green trail is 10 miles longer than the pink trail, he might be making an estimation rather than a precise measurement. This kind of error can occur when figures are guessed or 'guesstimated' rather than carefully calculated. To compare the lengths of the trails accurately, just as with the example of comparing distances of 5000 m and 10 km, Johnny would need to ensure that both distances are expressed in the same units. If he has not done that, his claim may be based on an incorrect assumption.

For example, if Johnny has the length of the pink trail in kilometers and the green in miles, he should convert one to the other unit before making a comparison. Since 1 mile is equivalent to approximately 1.60934 kilometers, he could multiply the length of the green trail in miles by this factor to compare it correctly to the pink trail length in kilometers or vice versa. On the other hand, if Johnny has both distances in the same units but simply estimated the length of one trail over the other, he would need to measure each trail accurately to determine the true difference in their lengths.

Estimation can sometimes be close to accurate, as in the case of the friend who estimated a distance as 10 feet, which was roughly correct. In other cases, such as when estimating a few inches as opposed to several feet, the estimation can be very far off. These scenarios illustrate the importance of carefully calculated approximations over rough guesstimates, especially in a situation where precision matters, like accurately comparing trail lengths.

User Gyna
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3.3k points
5 votes

First, measure the length of each trail:

Green trail: 2+2+1+1.5+0.5+1.5+0.5+1+0.5+0.5 = 11 miles

Pink trail: 3.5+1+1+0.5 =5

Subtract the lengths to find the difference:

11-5 = 6

The green trail is 6 miles longer than the pink trail.

The calculation error of Jhony was counting each unit as a whole mile instead of 1/2 a mile (0.5)

Johnny your friend claims that the green trail is 10 miles longer than the pink Trail-example-1
Johnny your friend claims that the green trail is 10 miles longer than the pink Trail-example-2
User Joe Meyer
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3.3k points