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Chapter 1: Problem 52

In the 1908 London Olympics, the intended 26 -mile marathon was extended 385 yards to put the end in front of the royal reviewing stand. This distance subsequently became standard. What's the marathon distance in kilometers, to the nearest meter?

Short Answer

Expert verified
The marathon distance is approximately 42.195 kilometers.

Step by step solution

01

Convert miles to kilometers

Start by converting the 26 miles into kilometers using the conversion factor 1.60934 km/mile. So, the calculation would be: 26 miles * 1.60934 km/mile.
02

Convert yards to meters

Next, convert the 385 yards into meters using the conversion factor of 0.9144 meters/yard. So the calculation would be: 385 yards * 0.9144 meter/yard.
03

Convert the meters to kilometers

To keep the units consistent, convert the result from step 2 (which is in meters) to kilometers. Knowing that 1 kilometer is equal to 1000 meters, the calculation would be: result from step 2 / 1000.
04

Add the results

Finally, add the results from step 1 and step 3 to find the total distance of the marathon in kilometers.

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