Answer:
50.465 km
Step-by-step explanation:
In order to find the distance in kilometers, you need to first convert the marathon distance into yards. Since the conversion measurement of 1 mile = 1760 yards is given, you can use this to find the total yards in 26 miles:
[tex]\frac{1760yards}{1mile} =\frac{x}{26miles}[/tex] or x = 45,760 yards
Adding this amount to the additional 385 in the marathon distance:
45760 + 385 = 46,145 yards
Since 1 yard = 0.9144 meters, we can find the number of meters the same way we found yards:
[tex]\frac{1 yard}{0.9144 meters} =\frac{46145}{m}[/tex] or m=50,465 meters
Since the question is asking for kilometers, we can need to divide the number of meters by 1000, or move the decimal point three places to the left:
50,465 ÷ 1000 = 50.465 km
